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Finding the Third Proportional to 429,465 and 970,279.50

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Solution

The third proportional to 429,465 and 970,279.50 is: 2,192,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,465 : 970,279.50 = 970,279.50 : x
  2. Step 2: Convert to fraction form
    429,465/970,279.50 = 970,279.50/x
  3. Step 3: Cross multiply
    429,465x = 970,279.50 × 970,279.50
  4. Step 4: Simplify right side
    429,465x = 941,442,308,120.25
  5. Step 5: Solve for x
    x = 941,442,308,120.25/429,465
  6. Step 6: Final answer
    x = 2,192,128.13

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.