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Finding the Third Proportional to 326,748 and 707,776.13

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Solution

The third proportional to 326,748 and 707,776.13 is: 1,533,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,748 : 707,776.13 = 707,776.13 : x
  2. Step 2: Convert to fraction form
    326,748/707,776.13 = 707,776.13/x
  3. Step 3: Cross multiply
    326,748x = 707,776.13 × 707,776.13
  4. Step 4: Simplify right side
    326,748x = 500,947,043,120.02
  5. Step 5: Solve for x
    x = 500,947,043,120.02/326,748
  6. Step 6: Final answer
    x = 1,533,129.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.