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Finding the Third Proportional to 249,725 and 539,353

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Solution

The third proportional to 249,725 and 539,353 is: 1,164,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,725 : 539,353 = 539,353 : x
  2. Step 2: Convert to fraction form
    249,725/539,353 = 539,353/x
  3. Step 3: Cross multiply
    249,725x = 539,353 × 539,353
  4. Step 4: Simplify right side
    249,725x = 290,901,658,609
  5. Step 5: Solve for x
    x = 290,901,658,609/249,725
  6. Step 6: Final answer
    x = 1,164,888.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.