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Finding the Third Proportional to 347,909,974.50 and 486,658,048.50

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Solution

The third proportional to 347,909,974.50 and 486,658,048.50 is: 680,739,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,909,974.50 : 486,658,048.50 = 486,658,048.50 : x
  2. Step 2: Convert to fraction form
    347,909,974.50/486,658,048.50 = 486,658,048.50/x
  3. Step 3: Cross multiply
    347,909,974.50x = 486,658,048.50 × 486,658,048.50
  4. Step 4: Simplify right side
    347,909,974.50x = 236,836,056,169,828,352
  5. Step 5: Solve for x
    x = 236,836,056,169,828,352/347,909,974.50
  6. Step 6: Final answer
    x = 680,739,482.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.