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Finding the Third Proportional to 563,252.25 and 872,708.16

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Solution

The third proportional to 563,252.25 and 872,708.16 is: 1,352,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,252.25 : 872,708.16 = 872,708.16 : x
  2. Step 2: Convert to fraction form
    563,252.25/872,708.16 = 872,708.16/x
  3. Step 3: Cross multiply
    563,252.25x = 872,708.16 × 872,708.16
  4. Step 4: Simplify right side
    563,252.25x = 761,619,525,985.27
  5. Step 5: Solve for x
    x = 761,619,525,985.27/563,252.25
  6. Step 6: Final answer
    x = 1,352,181.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.