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Finding the Third Proportional to 326,913.50 and 705,434

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Solution

The third proportional to 326,913.50 and 705,434 is: 1,522,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,913.50 : 705,434 = 705,434 : x
  2. Step 2: Convert to fraction form
    326,913.50/705,434 = 705,434/x
  3. Step 3: Cross multiply
    326,913.50x = 705,434 × 705,434
  4. Step 4: Simplify right side
    326,913.50x = 497,637,128,356
  5. Step 5: Solve for x
    x = 497,637,128,356/326,913.50
  6. Step 6: Final answer
    x = 1,522,228.75

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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.