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Finding the Third Proportional to 249,132 and 539,736

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Solution

The third proportional to 249,132 and 539,736 is: 1,169,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,132 : 539,736 = 539,736 : x
  2. Step 2: Convert to fraction form
    249,132/539,736 = 539,736/x
  3. Step 3: Cross multiply
    249,132x = 539,736 × 539,736
  4. Step 4: Simplify right side
    249,132x = 291,314,949,696
  5. Step 5: Solve for x
    x = 291,314,949,696/249,132
  6. Step 6: Final answer
    x = 1,169,319.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.