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Finding the Third Proportional to 484,470 and 693,490.50

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Solution

The third proportional to 484,470 and 693,490.50 is: 992,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,470 : 693,490.50 = 693,490.50 : x
  2. Step 2: Convert to fraction form
    484,470/693,490.50 = 693,490.50/x
  3. Step 3: Cross multiply
    484,470x = 693,490.50 × 693,490.50
  4. Step 4: Simplify right side
    484,470x = 480,929,073,590.25
  5. Step 5: Solve for x
    x = 480,929,073,590.25/484,470
  6. Step 6: Final answer
    x = 992,691.13

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.