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Finding the Third Proportional to 314,852,234 and 493,865,500

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Solution

The third proportional to 314,852,234 and 493,865,500 is: 774,659,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,852,234 : 493,865,500 = 493,865,500 : x
  2. Step 2: Convert to fraction form
    314,852,234/493,865,500 = 493,865,500/x
  3. Step 3: Cross multiply
    314,852,234x = 493,865,500 × 493,865,500
  4. Step 4: Simplify right side
    314,852,234x = 243,903,132,090,249,984
  5. Step 5: Solve for x
    x = 243,903,132,090,249,984/314,852,234
  6. Step 6: Final answer
    x = 774,659,048.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.