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Finding the Third Proportional to 350,565 and 572,377.50

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Solution

The third proportional to 350,565 and 572,377.50 is: 934,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,565 : 572,377.50 = 572,377.50 : x
  2. Step 2: Convert to fraction form
    350,565/572,377.50 = 572,377.50/x
  3. Step 3: Cross multiply
    350,565x = 572,377.50 × 572,377.50
  4. Step 4: Simplify right side
    350,565x = 327,616,002,506.25
  5. Step 5: Solve for x
    x = 327,616,002,506.25/350,565
  6. Step 6: Final answer
    x = 934,537.11

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.