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Finding the Third Proportional to 460,730 and 711,507

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Solution

The third proportional to 460,730 and 711,507 is: 1,098,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,730 : 711,507 = 711,507 : x
  2. Step 2: Convert to fraction form
    460,730/711,507 = 711,507/x
  3. Step 3: Cross multiply
    460,730x = 711,507 × 711,507
  4. Step 4: Simplify right side
    460,730x = 506,242,211,049
  5. Step 5: Solve for x
    x = 506,242,211,049/460,730
  6. Step 6: Final answer
    x = 1,098,782.83

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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.