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Finding the Third Proportional to 573,574 and 840,074

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Solution

The third proportional to 573,574 and 840,074 is: 1,230,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,574 : 840,074 = 840,074 : x
  2. Step 2: Convert to fraction form
    573,574/840,074 = 840,074/x
  3. Step 3: Cross multiply
    573,574x = 840,074 × 840,074
  4. Step 4: Simplify right side
    573,574x = 705,724,325,476
  5. Step 5: Solve for x
    x = 705,724,325,476/573,574
  6. Step 6: Final answer
    x = 1,230,398.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.