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Finding the Third Proportional to 580,458 and 896,955

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Solution

The third proportional to 580,458 and 896,955 is: 1,386,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,458 : 896,955 = 896,955 : x
  2. Step 2: Convert to fraction form
    580,458/896,955 = 896,955/x
  3. Step 3: Cross multiply
    580,458x = 896,955 × 896,955
  4. Step 4: Simplify right side
    580,458x = 804,528,272,025
  5. Step 5: Solve for x
    x = 804,528,272,025/580,458
  6. Step 6: Final answer
    x = 1,386,023.23

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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.