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Finding the Third Proportional to 369,466 and 595,000

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Solution

The third proportional to 369,466 and 595,000 is: 958,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,466 : 595,000 = 595,000 : x
  2. Step 2: Convert to fraction form
    369,466/595,000 = 595,000/x
  3. Step 3: Cross multiply
    369,466x = 595,000 × 595,000
  4. Step 4: Simplify right side
    369,466x = 354,025,000,000
  5. Step 5: Solve for x
    x = 354,025,000,000/369,466
  6. Step 6: Final answer
    x = 958,207.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.