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Finding the Third Proportional to 249,312 and 534,048

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Solution

The third proportional to 249,312 and 534,048 is: 1,143,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,312 : 534,048 = 534,048 : x
  2. Step 2: Convert to fraction form
    249,312/534,048 = 534,048/x
  3. Step 3: Cross multiply
    249,312x = 534,048 × 534,048
  4. Step 4: Simplify right side
    249,312x = 285,207,266,304
  5. Step 5: Solve for x
    x = 285,207,266,304/249,312
  6. Step 6: Final answer
    x = 1,143,977.29

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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.