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Finding the Third Proportional to 425,218 and 657,987

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Solution

The third proportional to 425,218 and 657,987 is: 1,018,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,218 : 657,987 = 657,987 : x
  2. Step 2: Convert to fraction form
    425,218/657,987 = 657,987/x
  3. Step 3: Cross multiply
    425,218x = 657,987 × 657,987
  4. Step 4: Simplify right side
    425,218x = 432,946,892,169
  5. Step 5: Solve for x
    x = 432,946,892,169/425,218
  6. Step 6: Final answer
    x = 1,018,176.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.