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Finding the Third Proportional to 326,915 and 705,437.50

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Solution

The third proportional to 326,915 and 705,437.50 is: 1,522,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,915 : 705,437.50 = 705,437.50 : x
  2. Step 2: Convert to fraction form
    326,915/705,437.50 = 705,437.50/x
  3. Step 3: Cross multiply
    326,915x = 705,437.50 × 705,437.50
  4. Step 4: Simplify right side
    326,915x = 497,642,066,406.25
  5. Step 5: Solve for x
    x = 497,642,066,406.25/326,915
  6. Step 6: Final answer
    x = 1,522,236.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.