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Finding the Third Proportional to 249,044 and 533,080

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Solution

The third proportional to 249,044 and 533,080 is: 1,141,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,044 : 533,080 = 533,080 : x
  2. Step 2: Convert to fraction form
    249,044/533,080 = 533,080/x
  3. Step 3: Cross multiply
    249,044x = 533,080 × 533,080
  4. Step 4: Simplify right side
    249,044x = 284,174,286,400
  5. Step 5: Solve for x
    x = 284,174,286,400/249,044
  6. Step 6: Final answer
    x = 1,141,060.56

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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.