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Finding the Third Proportional to 249,386 and 386,944

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Solution

The third proportional to 249,386 and 386,944 is: 600,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,386 : 386,944 = 386,944 : x
  2. Step 2: Convert to fraction form
    249,386/386,944 = 386,944/x
  3. Step 3: Cross multiply
    249,386x = 386,944 × 386,944
  4. Step 4: Simplify right side
    249,386x = 149,725,659,136
  5. Step 5: Solve for x
    x = 149,725,659,136/249,386
  6. Step 6: Final answer
    x = 600,377.16

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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.