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Finding the Third Proportional to 584,300.25 and 913,356

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Solution

The third proportional to 584,300.25 and 913,356 is: 1,427,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,300.25 : 913,356 = 913,356 : x
  2. Step 2: Convert to fraction form
    584,300.25/913,356 = 913,356/x
  3. Step 3: Cross multiply
    584,300.25x = 913,356 × 913,356
  4. Step 4: Simplify right side
    584,300.25x = 834,219,182,736
  5. Step 5: Solve for x
    x = 834,219,182,736/584,300.25
  6. Step 6: Final answer
    x = 1,427,723.47

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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.