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Finding the Third Proportional to 342,058.50 and 536,577.75

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Solution

The third proportional to 342,058.50 and 536,577.75 is: 841,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,058.50 : 536,577.75 = 536,577.75 : x
  2. Step 2: Convert to fraction form
    342,058.50/536,577.75 = 536,577.75/x
  3. Step 3: Cross multiply
    342,058.50x = 536,577.75 × 536,577.75
  4. Step 4: Simplify right side
    342,058.50x = 287,915,681,795.06
  5. Step 5: Solve for x
    x = 287,915,681,795.06/342,058.50
  6. Step 6: Final answer
    x = 841,714.74

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.