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Finding the Third Proportional to 580,476.38 and 896,594.06

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Solution

The third proportional to 580,476.38 and 896,594.06 is: 1,384,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,476.38 : 896,594.06 = 896,594.06 : x
  2. Step 2: Convert to fraction form
    580,476.38/896,594.06 = 896,594.06/x
  3. Step 3: Cross multiply
    580,476.38x = 896,594.06 × 896,594.06
  4. Step 4: Simplify right side
    580,476.38x = 803,880,912,910.25
  5. Step 5: Solve for x
    x = 803,880,912,910.25/580,476.38
  6. Step 6: Final answer
    x = 1,384,864.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.