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Finding the Third Proportional to 252,588 and 390,140

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Solution

The third proportional to 252,588 and 390,140 is: 602,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,588 : 390,140 = 390,140 : x
  2. Step 2: Convert to fraction form
    252,588/390,140 = 390,140/x
  3. Step 3: Cross multiply
    252,588x = 390,140 × 390,140
  4. Step 4: Simplify right side
    252,588x = 152,209,219,600
  5. Step 5: Solve for x
    x = 152,209,219,600/252,588
  6. Step 6: Final answer
    x = 602,598.78

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