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Finding the Third Proportional to 249,459 and 547,229

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Solution

The third proportional to 249,459 and 547,229 is: 1,200,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,459 : 547,229 = 547,229 : x
  2. Step 2: Convert to fraction form
    249,459/547,229 = 547,229/x
  3. Step 3: Cross multiply
    249,459x = 547,229 × 547,229
  4. Step 4: Simplify right side
    249,459x = 299,459,578,441
  5. Step 5: Solve for x
    x = 299,459,578,441/249,459
  6. Step 6: Final answer
    x = 1,200,436.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.