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Finding the Third Proportional to 249,294 and 533,562

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Solution

The third proportional to 249,294 and 533,562 is: 1,141,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,294 : 533,562 = 533,562 : x
  2. Step 2: Convert to fraction form
    249,294/533,562 = 533,562/x
  3. Step 3: Cross multiply
    249,294x = 533,562 × 533,562
  4. Step 4: Simplify right side
    249,294x = 284,688,407,844
  5. Step 5: Solve for x
    x = 284,688,407,844/249,294
  6. Step 6: Final answer
    x = 1,141,978.58

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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.