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Finding the Third Proportional to 584,308.50 and 913,368

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Solution

The third proportional to 584,308.50 and 913,368 is: 1,427,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,308.50 : 913,368 = 913,368 : x
  2. Step 2: Convert to fraction form
    584,308.50/913,368 = 913,368/x
  3. Step 3: Cross multiply
    584,308.50x = 913,368 × 913,368
  4. Step 4: Simplify right side
    584,308.50x = 834,241,103,424
  5. Step 5: Solve for x
    x = 834,241,103,424/584,308.50
  6. Step 6: Final answer
    x = 1,427,740.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.