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Finding the Third Proportional to 249,624 and 377,622

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Solution

The third proportional to 249,624 and 377,622 is: 571,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,624 : 377,622 = 377,622 : x
  2. Step 2: Convert to fraction form
    249,624/377,622 = 377,622/x
  3. Step 3: Cross multiply
    249,624x = 377,622 × 377,622
  4. Step 4: Simplify right side
    249,624x = 142,598,374,884
  5. Step 5: Solve for x
    x = 142,598,374,884/249,624
  6. Step 6: Final answer
    x = 571,252.66

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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.