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Finding the Third Proportional to 429,135 and 679,374

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Solution

The third proportional to 429,135 and 679,374 is: 1,075,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,135 : 679,374 = 679,374 : x
  2. Step 2: Convert to fraction form
    429,135/679,374 = 679,374/x
  3. Step 3: Cross multiply
    429,135x = 679,374 × 679,374
  4. Step 4: Simplify right side
    429,135x = 461,549,031,876
  5. Step 5: Solve for x
    x = 461,549,031,876/429,135
  6. Step 6: Final answer
    x = 1,075,533.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.