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Finding the Third Proportional to 287,025 and 625,719

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Solution

The third proportional to 287,025 and 625,719 is: 1,364,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,025 : 625,719 = 625,719 : x
  2. Step 2: Convert to fraction form
    287,025/625,719 = 625,719/x
  3. Step 3: Cross multiply
    287,025x = 625,719 × 625,719
  4. Step 4: Simplify right side
    287,025x = 391,524,266,961
  5. Step 5: Solve for x
    x = 391,524,266,961/287,025
  6. Step 6: Final answer
    x = 1,364,077.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.