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Finding the Third Proportional to 249,612 and 538,587

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Solution

The third proportional to 249,612 and 538,587 is: 1,162,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,612 : 538,587 = 538,587 : x
  2. Step 2: Convert to fraction form
    249,612/538,587 = 538,587/x
  3. Step 3: Cross multiply
    249,612x = 538,587 × 538,587
  4. Step 4: Simplify right side
    249,612x = 290,075,956,569
  5. Step 5: Solve for x
    x = 290,075,956,569/249,612
  6. Step 6: Final answer
    x = 1,162,107.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.