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Finding the Third Proportional to 249,552 and 383,967

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Solution

The third proportional to 249,552 and 383,967 is: 590,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,552 : 383,967 = 383,967 : x
  2. Step 2: Convert to fraction form
    249,552/383,967 = 383,967/x
  3. Step 3: Cross multiply
    249,552x = 383,967 × 383,967
  4. Step 4: Simplify right side
    249,552x = 147,430,657,089
  5. Step 5: Solve for x
    x = 147,430,657,089/249,552
  6. Step 6: Final answer
    x = 590,781.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.