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Finding the Third Proportional to 384,311.25 and 610,681.50

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Solution

The third proportional to 384,311.25 and 610,681.50 is: 970,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,311.25 : 610,681.50 = 610,681.50 : x
  2. Step 2: Convert to fraction form
    384,311.25/610,681.50 = 610,681.50/x
  3. Step 3: Cross multiply
    384,311.25x = 610,681.50 × 610,681.50
  4. Step 4: Simplify right side
    384,311.25x = 372,931,894,442.25
  5. Step 5: Solve for x
    x = 372,931,894,442.25/384,311.25
  6. Step 6: Final answer
    x = 970,390.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.