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Finding the Third Proportional to 384,373,506.94 and 574,041,494.25

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Solution

The third proportional to 384,373,506.94 and 574,041,494.25 is: 857,300,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,373,506.94 : 574,041,494.25 = 574,041,494.25 : x
  2. Step 2: Convert to fraction form
    384,373,506.94/574,041,494.25 = 574,041,494.25/x
  3. Step 3: Cross multiply
    384,373,506.94x = 574,041,494.25 × 574,041,494.25
  4. Step 4: Simplify right side
    384,373,506.94x = 329,523,637,120,772,800
  5. Step 5: Solve for x
    x = 329,523,637,120,772,800/384,373,506.94
  6. Step 6: Final answer
    x = 857,300,597.40

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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.