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Finding the Third Proportional to 249,208 and 391,664

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Solution

The third proportional to 249,208 and 391,664 is: 615,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,208 : 391,664 = 391,664 : x
  2. Step 2: Convert to fraction form
    249,208/391,664 = 391,664/x
  3. Step 3: Cross multiply
    249,208x = 391,664 × 391,664
  4. Step 4: Simplify right side
    249,208x = 153,400,688,896
  5. Step 5: Solve for x
    x = 153,400,688,896/249,208
  6. Step 6: Final answer
    x = 615,552.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.