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Finding the Third Proportional to 522,988 and 736,482

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Solution

The third proportional to 522,988 and 736,482 is: 1,037,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,988 : 736,482 = 736,482 : x
  2. Step 2: Convert to fraction form
    522,988/736,482 = 736,482/x
  3. Step 3: Cross multiply
    522,988x = 736,482 × 736,482
  4. Step 4: Simplify right side
    522,988x = 542,405,736,324
  5. Step 5: Solve for x
    x = 542,405,736,324/522,988
  6. Step 6: Final answer
    x = 1,037,128.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.