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Finding the Third Proportional to 252,582 and 390,132

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Solution

The third proportional to 252,582 and 390,132 is: 602,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,582 : 390,132 = 390,132 : x
  2. Step 2: Convert to fraction form
    252,582/390,132 = 390,132/x
  3. Step 3: Cross multiply
    252,582x = 390,132 × 390,132
  4. Step 4: Simplify right side
    252,582x = 152,202,977,424
  5. Step 5: Solve for x
    x = 152,202,977,424/252,582
  6. Step 6: Final answer
    x = 602,588.38

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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.