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Finding the Third Proportional to 326,748 and 711,628.50

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Solution

The third proportional to 326,748 and 711,628.50 is: 1,549,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,748 : 711,628.50 = 711,628.50 : x
  2. Step 2: Convert to fraction form
    326,748/711,628.50 = 711,628.50/x
  3. Step 3: Cross multiply
    326,748x = 711,628.50 × 711,628.50
  4. Step 4: Simplify right side
    326,748x = 506,415,122,012.25
  5. Step 5: Solve for x
    x = 506,415,122,012.25/326,748
  6. Step 6: Final answer
    x = 1,549,864.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.