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Finding the Third Proportional to 286,498.50 and 435,972

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Solution

The third proportional to 286,498.50 and 435,972 is: 663,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,498.50 : 435,972 = 435,972 : x
  2. Step 2: Convert to fraction form
    286,498.50/435,972 = 435,972/x
  3. Step 3: Cross multiply
    286,498.50x = 435,972 × 435,972
  4. Step 4: Simplify right side
    286,498.50x = 190,071,584,784
  5. Step 5: Solve for x
    x = 190,071,584,784/286,498.50
  6. Step 6: Final answer
    x = 663,429.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.