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Finding the Third Proportional to 462,237 and 710,176.50

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Solution

The third proportional to 462,237 and 710,176.50 is: 1,091,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,237 : 710,176.50 = 710,176.50 : x
  2. Step 2: Convert to fraction form
    462,237/710,176.50 = 710,176.50/x
  3. Step 3: Cross multiply
    462,237x = 710,176.50 × 710,176.50
  4. Step 4: Simplify right side
    462,237x = 504,350,661,152.25
  5. Step 5: Solve for x
    x = 504,350,661,152.25/462,237
  6. Step 6: Final answer
    x = 1,091,108.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.