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Finding the Third Proportional to 249,229 and 546,708

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Solution

The third proportional to 249,229 and 546,708 is: 1,199,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,229 : 546,708 = 546,708 : x
  2. Step 2: Convert to fraction form
    249,229/546,708 = 546,708/x
  3. Step 3: Cross multiply
    249,229x = 546,708 × 546,708
  4. Step 4: Simplify right side
    249,229x = 298,889,637,264
  5. Step 5: Solve for x
    x = 298,889,637,264/249,229
  6. Step 6: Final answer
    x = 1,199,257.06

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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.