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Finding the Third Proportional to 249,433 and 565,448

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Solution

The third proportional to 249,433 and 565,448 is: 1,281,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,433 : 565,448 = 565,448 : x
  2. Step 2: Convert to fraction form
    249,433/565,448 = 565,448/x
  3. Step 3: Cross multiply
    249,433x = 565,448 × 565,448
  4. Step 4: Simplify right side
    249,433x = 319,731,440,704
  5. Step 5: Solve for x
    x = 319,731,440,704/249,433
  6. Step 6: Final answer
    x = 1,281,832.96

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.