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Finding the Third Proportional to 249,151 and 531,521

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Solution

The third proportional to 249,151 and 531,521 is: 1,133,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,151 : 531,521 = 531,521 : x
  2. Step 2: Convert to fraction form
    249,151/531,521 = 531,521/x
  3. Step 3: Cross multiply
    249,151x = 531,521 × 531,521
  4. Step 4: Simplify right side
    249,151x = 282,514,573,441
  5. Step 5: Solve for x
    x = 282,514,573,441/249,151
  6. Step 6: Final answer
    x = 1,133,909.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.