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Finding the Third Proportional to 283,590 and 425,382

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Solution

The third proportional to 283,590 and 425,382 is: 638,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,590 : 425,382 = 425,382 : x
  2. Step 2: Convert to fraction form
    283,590/425,382 = 425,382/x
  3. Step 3: Cross multiply
    283,590x = 425,382 × 425,382
  4. Step 4: Simplify right side
    283,590x = 180,949,845,924
  5. Step 5: Solve for x
    x = 180,949,845,924/283,590
  6. Step 6: Final answer
    x = 638,068.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.