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Finding the Third Proportional to 597,024 and 901,312

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Solution

The third proportional to 597,024 and 901,312 is: 1,360,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,024 : 901,312 = 901,312 : x
  2. Step 2: Convert to fraction form
    597,024/901,312 = 901,312/x
  3. Step 3: Cross multiply
    597,024x = 901,312 × 901,312
  4. Step 4: Simplify right side
    597,024x = 812,363,321,344
  5. Step 5: Solve for x
    x = 812,363,321,344/597,024
  6. Step 6: Final answer
    x = 1,360,687.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.