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Finding the Third Proportional to 580,532 and 896,688

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Solution

The third proportional to 580,532 and 896,688 is: 1,385,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,532 : 896,688 = 896,688 : x
  2. Step 2: Convert to fraction form
    580,532/896,688 = 896,688/x
  3. Step 3: Cross multiply
    580,532x = 896,688 × 896,688
  4. Step 4: Simplify right side
    580,532x = 804,049,369,344
  5. Step 5: Solve for x
    x = 804,049,369,344/580,532
  6. Step 6: Final answer
    x = 1,385,021.62

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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.