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Finding the Third Proportional to 508,447.13 and 697,199.91

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Solution

The third proportional to 508,447.13 and 697,199.91 is: 956,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,447.13 : 697,199.91 = 697,199.91 : x
  2. Step 2: Convert to fraction form
    508,447.13/697,199.91 = 697,199.91/x
  3. Step 3: Cross multiply
    508,447.13x = 697,199.91 × 697,199.91
  4. Step 4: Simplify right side
    508,447.13x = 486,087,709,275.01
  5. Step 5: Solve for x
    x = 486,087,709,275.01/508,447.13
  6. Step 6: Final answer
    x = 956,024.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.