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Finding the Third Proportional to 249,437.25 and 565,463.25

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Solution

The third proportional to 249,437.25 and 565,463.25 is: 1,281,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,437.25 : 565,463.25 = 565,463.25 : x
  2. Step 2: Convert to fraction form
    249,437.25/565,463.25 = 565,463.25/x
  3. Step 3: Cross multiply
    249,437.25x = 565,463.25 × 565,463.25
  4. Step 4: Simplify right side
    249,437.25x = 319,748,687,100.56
  5. Step 5: Solve for x
    x = 319,748,687,100.56/249,437.25
  6. Step 6: Final answer
    x = 1,281,880.26

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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.