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Finding the Third Proportional to 465,502 and 711,790

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Solution

The third proportional to 465,502 and 711,790 is: 1,088,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,502 : 711,790 = 711,790 : x
  2. Step 2: Convert to fraction form
    465,502/711,790 = 711,790/x
  3. Step 3: Cross multiply
    465,502x = 711,790 × 711,790
  4. Step 4: Simplify right side
    465,502x = 506,645,004,100
  5. Step 5: Solve for x
    x = 506,645,004,100/465,502
  6. Step 6: Final answer
    x = 1,088,384.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.