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Finding the Third Proportional to 385,129.69 and 563,430.94

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Solution

The third proportional to 385,129.69 and 563,430.94 is: 824,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,129.69 : 563,430.94 = 563,430.94 : x
  2. Step 2: Convert to fraction form
    385,129.69/563,430.94 = 563,430.94/x
  3. Step 3: Cross multiply
    385,129.69x = 563,430.94 × 563,430.94
  4. Step 4: Simplify right side
    385,129.69x = 317,454,421,332.13
  5. Step 5: Solve for x
    x = 317,454,421,332.13/385,129.69
  6. Step 6: Final answer
    x = 824,279.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.