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Finding the Third Proportional to 346,470 and 518,292

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Solution

The third proportional to 346,470 and 518,292 is: 775,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,470 : 518,292 = 518,292 : x
  2. Step 2: Convert to fraction form
    346,470/518,292 = 518,292/x
  3. Step 3: Cross multiply
    346,470x = 518,292 × 518,292
  4. Step 4: Simplify right side
    346,470x = 268,626,597,264
  5. Step 5: Solve for x
    x = 268,626,597,264/346,470
  6. Step 6: Final answer
    x = 775,324.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.