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Finding the Third Proportional to 473,116.50 and 708,972.75

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Solution

The third proportional to 473,116.50 and 708,972.75 is: 1,062,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,116.50 : 708,972.75 = 708,972.75 : x
  2. Step 2: Convert to fraction form
    473,116.50/708,972.75 = 708,972.75/x
  3. Step 3: Cross multiply
    473,116.50x = 708,972.75 × 708,972.75
  4. Step 4: Simplify right side
    473,116.50x = 502,642,360,242.56
  5. Step 5: Solve for x
    x = 502,642,360,242.56/473,116.50
  6. Step 6: Final answer
    x = 1,062,407.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.