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Finding the Third Proportional to 574,105 and 896,041.50

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Solution

The third proportional to 574,105 and 896,041.50 is: 1,398,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,105 : 896,041.50 = 896,041.50 : x
  2. Step 2: Convert to fraction form
    574,105/896,041.50 = 896,041.50/x
  3. Step 3: Cross multiply
    574,105x = 896,041.50 × 896,041.50
  4. Step 4: Simplify right side
    574,105x = 802,890,369,722.25
  5. Step 5: Solve for x
    x = 802,890,369,722.25/574,105
  6. Step 6: Final answer
    x = 1,398,507.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.