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Finding the Third Proportional to 237,298,184 and 377,604,382

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Solution

The third proportional to 237,298,184 and 377,604,382 is: 600,868,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,298,184 : 377,604,382 = 377,604,382 : x
  2. Step 2: Convert to fraction form
    237,298,184/377,604,382 = 377,604,382/x
  3. Step 3: Cross multiply
    237,298,184x = 377,604,382 × 377,604,382
  4. Step 4: Simplify right side
    237,298,184x = 142,585,069,305,601,920
  5. Step 5: Solve for x
    x = 142,585,069,305,601,920/237,298,184
  6. Step 6: Final answer
    x = 600,868,775.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.