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Finding the Third Proportional to 369,470 and 595,006

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Solution

The third proportional to 369,470 and 595,006 is: 958,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,470 : 595,006 = 595,006 : x
  2. Step 2: Convert to fraction form
    369,470/595,006 = 595,006/x
  3. Step 3: Cross multiply
    369,470x = 595,006 × 595,006
  4. Step 4: Simplify right side
    369,470x = 354,032,140,036
  5. Step 5: Solve for x
    x = 354,032,140,036/369,470
  6. Step 6: Final answer
    x = 958,216.20

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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.