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Finding the Third Proportional to 584,424 and 933,637.50

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Solution

The third proportional to 584,424 and 933,637.50 is: 1,491,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,424 : 933,637.50 = 933,637.50 : x
  2. Step 2: Convert to fraction form
    584,424/933,637.50 = 933,637.50/x
  3. Step 3: Cross multiply
    584,424x = 933,637.50 × 933,637.50
  4. Step 4: Simplify right side
    584,424x = 871,678,981,406.25
  5. Step 5: Solve for x
    x = 871,678,981,406.25/584,424
  6. Step 6: Final answer
    x = 1,491,518.11

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.