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Finding the Third Proportional to 502,805.81 and 718,264.13

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Solution

The third proportional to 502,805.81 and 718,264.13 is: 1,026,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,805.81 : 718,264.13 = 718,264.13 : x
  2. Step 2: Convert to fraction form
    502,805.81/718,264.13 = 718,264.13/x
  3. Step 3: Cross multiply
    502,805.81x = 718,264.13 × 718,264.13
  4. Step 4: Simplify right side
    502,805.81x = 515,903,353,262.02
  5. Step 5: Solve for x
    x = 515,903,353,262.02/502,805.81
  6. Step 6: Final answer
    x = 1,026,048.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.