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Finding the Third Proportional to 249,358 and 534,437

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Solution

The third proportional to 249,358 and 534,437 is: 1,145,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,358 : 534,437 = 534,437 : x
  2. Step 2: Convert to fraction form
    249,358/534,437 = 534,437/x
  3. Step 3: Cross multiply
    249,358x = 534,437 × 534,437
  4. Step 4: Simplify right side
    249,358x = 285,622,906,969
  5. Step 5: Solve for x
    x = 285,622,906,969/249,358
  6. Step 6: Final answer
    x = 1,145,433.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.