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Finding the Third Proportional to 249,594 and 377,577

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Solution

The third proportional to 249,594 and 377,577 is: 571,185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,594 : 377,577 = 377,577 : x
  2. Step 2: Convert to fraction form
    249,594/377,577 = 377,577/x
  3. Step 3: Cross multiply
    249,594x = 377,577 × 377,577
  4. Step 4: Simplify right side
    249,594x = 142,564,390,929
  5. Step 5: Solve for x
    x = 142,564,390,929/249,594
  6. Step 6: Final answer
    x = 571,185.17

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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.