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Finding the Third Proportional to 249,020 and 533,032

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Solution

The third proportional to 249,020 and 533,032 is: 1,140,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,020 : 533,032 = 533,032 : x
  2. Step 2: Convert to fraction form
    249,020/533,032 = 533,032/x
  3. Step 3: Cross multiply
    249,020x = 533,032 × 533,032
  4. Step 4: Simplify right side
    249,020x = 284,123,113,024
  5. Step 5: Solve for x
    x = 284,123,113,024/249,020
  6. Step 6: Final answer
    x = 1,140,965.04

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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.