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Finding the Third Proportional to 341,415 and 745,888.50

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Solution

The third proportional to 341,415 and 745,888.50 is: 1,629,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,415 : 745,888.50 = 745,888.50 : x
  2. Step 2: Convert to fraction form
    341,415/745,888.50 = 745,888.50/x
  3. Step 3: Cross multiply
    341,415x = 745,888.50 × 745,888.50
  4. Step 4: Simplify right side
    341,415x = 556,349,654,432.25
  5. Step 5: Solve for x
    x = 556,349,654,432.25/341,415
  6. Step 6: Final answer
    x = 1,629,540.75

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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.