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Finding the Third Proportional to 580,470 and 896,585

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Solution

The third proportional to 580,470 and 896,585 is: 1,384,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,470 : 896,585 = 896,585 : x
  2. Step 2: Convert to fraction form
    580,470/896,585 = 896,585/x
  3. Step 3: Cross multiply
    580,470x = 896,585 × 896,585
  4. Step 4: Simplify right side
    580,470x = 803,864,662,225
  5. Step 5: Solve for x
    x = 803,864,662,225/580,470
  6. Step 6: Final answer
    x = 1,384,851.35

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Why These Related Problems?

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