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Finding the Third Proportional to 519,890.91 and 695,397.66

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Solution

The third proportional to 519,890.91 and 695,397.66 is: 930,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,890.91 : 695,397.66 = 695,397.66 : x
  2. Step 2: Convert to fraction form
    519,890.91/695,397.66 = 695,397.66/x
  3. Step 3: Cross multiply
    519,890.91x = 695,397.66 × 695,397.66
  4. Step 4: Simplify right side
    519,890.91x = 483,577,900,317.99
  5. Step 5: Solve for x
    x = 483,577,900,317.99/519,890.91
  6. Step 6: Final answer
    x = 930,152.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.