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Finding the Third Proportional to 341,588 and 513,480

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Solution

The third proportional to 341,588 and 513,480 is: 771,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,588 : 513,480 = 513,480 : x
  2. Step 2: Convert to fraction form
    341,588/513,480 = 513,480/x
  3. Step 3: Cross multiply
    341,588x = 513,480 × 513,480
  4. Step 4: Simplify right side
    341,588x = 263,661,710,400
  5. Step 5: Solve for x
    x = 263,661,710,400/341,588
  6. Step 6: Final answer
    x = 771,870.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.