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Finding the Third Proportional to 497,908 and 715,758

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Solution

The third proportional to 497,908 and 715,758 is: 1,028,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,908 : 715,758 = 715,758 : x
  2. Step 2: Convert to fraction form
    497,908/715,758 = 715,758/x
  3. Step 3: Cross multiply
    497,908x = 715,758 × 715,758
  4. Step 4: Simplify right side
    497,908x = 512,309,514,564
  5. Step 5: Solve for x
    x = 512,309,514,564/497,908
  6. Step 6: Final answer
    x = 1,028,924.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.