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Finding the Third Proportional to 249,121 and 386,806

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Solution

The third proportional to 249,121 and 386,806 is: 600,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,121 : 386,806 = 386,806 : x
  2. Step 2: Convert to fraction form
    249,121/386,806 = 386,806/x
  3. Step 3: Cross multiply
    249,121x = 386,806 × 386,806
  4. Step 4: Simplify right side
    249,121x = 149,618,881,636
  5. Step 5: Solve for x
    x = 149,618,881,636/249,121
  6. Step 6: Final answer
    x = 600,587.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.