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Finding the Third Proportional to 384,169.13 and 563,798.06

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Solution

The third proportional to 384,169.13 and 563,798.06 is: 827,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,169.13 : 563,798.06 = 563,798.06 : x
  2. Step 2: Convert to fraction form
    384,169.13/563,798.06 = 563,798.06/x
  3. Step 3: Cross multiply
    384,169.13x = 563,798.06 × 563,798.06
  4. Step 4: Simplify right side
    384,169.13x = 317,868,255,278.75
  5. Step 5: Solve for x
    x = 317,868,255,278.75/384,169.13
  6. Step 6: Final answer
    x = 827,417.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.