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Finding the Third Proportional to 384,373,508.06 and 574,041,495.94

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Solution

The third proportional to 384,373,508.06 and 574,041,495.94 is: 857,300,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,373,508.06 : 574,041,495.94 = 574,041,495.94 : x
  2. Step 2: Convert to fraction form
    384,373,508.06/574,041,495.94 = 574,041,495.94/x
  3. Step 3: Cross multiply
    384,373,508.06x = 574,041,495.94 × 574,041,495.94
  4. Step 4: Simplify right side
    384,373,508.06x = 329,523,639,058,162,816
  5. Step 5: Solve for x
    x = 329,523,639,058,162,816/384,373,508.06
  6. Step 6: Final answer
    x = 857,300,599.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.