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Finding the Third Proportional to 563,046.75 and 849,430.13

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Solution

The third proportional to 563,046.75 and 849,430.13 is: 1,281,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,046.75 : 849,430.13 = 849,430.13 : x
  2. Step 2: Convert to fraction form
    563,046.75/849,430.13 = 849,430.13/x
  3. Step 3: Cross multiply
    563,046.75x = 849,430.13 × 849,430.13
  4. Step 4: Simplify right side
    563,046.75x = 721,531,537,257.52
  5. Step 5: Solve for x
    x = 721,531,537,257.52/563,046.75
  6. Step 6: Final answer
    x = 1,281,477.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.