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Finding the Third Proportional to 249,308 and 533,588

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Solution

The third proportional to 249,308 and 533,588 is: 1,142,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,308 : 533,588 = 533,588 : x
  2. Step 2: Convert to fraction form
    249,308/533,588 = 533,588/x
  3. Step 3: Cross multiply
    249,308x = 533,588 × 533,588
  4. Step 4: Simplify right side
    249,308x = 284,716,153,744
  5. Step 5: Solve for x
    x = 284,716,153,744/249,308
  6. Step 6: Final answer
    x = 1,142,025.74

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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.