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Finding the Third Proportional to 580,032 and 896,352

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Solution

The third proportional to 580,032 and 896,352 is: 1,385,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,032 : 896,352 = 896,352 : x
  2. Step 2: Convert to fraction form
    580,032/896,352 = 896,352/x
  3. Step 3: Cross multiply
    580,032x = 896,352 × 896,352
  4. Step 4: Simplify right side
    580,032x = 803,446,907,904
  5. Step 5: Solve for x
    x = 803,446,907,904/580,032
  6. Step 6: Final answer
    x = 1,385,176.87

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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.