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Finding the Third Proportional to 374,076 and 580,411.13

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Solution

The third proportional to 374,076 and 580,411.13 is: 900,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,076 : 580,411.13 = 580,411.13 : x
  2. Step 2: Convert to fraction form
    374,076/580,411.13 = 580,411.13/x
  3. Step 3: Cross multiply
    374,076x = 580,411.13 × 580,411.13
  4. Step 4: Simplify right side
    374,076x = 336,877,074,023.77
  5. Step 5: Solve for x
    x = 336,877,074,023.77/374,076
  6. Step 6: Final answer
    x = 900,557.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.