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Finding the Third Proportional to 596,058 and 1,277,341.50

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Solution

The third proportional to 596,058 and 1,277,341.50 is: 2,737,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,058 : 1,277,341.50 = 1,277,341.50 : x
  2. Step 2: Convert to fraction form
    596,058/1,277,341.50 = 1,277,341.50/x
  3. Step 3: Cross multiply
    596,058x = 1,277,341.50 × 1,277,341.50
  4. Step 4: Simplify right side
    596,058x = 1,631,601,307,622.25
  5. Step 5: Solve for x
    x = 1,631,601,307,622.25/596,058
  6. Step 6: Final answer
    x = 2,737,319.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.