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Finding the Third Proportional to 384,140 and 563,752

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Solution

The third proportional to 384,140 and 563,752 is: 827,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,140 : 563,752 = 563,752 : x
  2. Step 2: Convert to fraction form
    384,140/563,752 = 563,752/x
  3. Step 3: Cross multiply
    384,140x = 563,752 × 563,752
  4. Step 4: Simplify right side
    384,140x = 317,816,317,504
  5. Step 5: Solve for x
    x = 317,816,317,504/384,140
  6. Step 6: Final answer
    x = 827,345.02

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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.