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Finding the Third Proportional to 235,128,345 and 370,725,561

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Solution

The third proportional to 235,128,345 and 370,725,561 is: 584,520,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,128,345 : 370,725,561 = 370,725,561 : x
  2. Step 2: Convert to fraction form
    235,128,345/370,725,561 = 370,725,561/x
  3. Step 3: Cross multiply
    235,128,345x = 370,725,561 × 370,725,561
  4. Step 4: Simplify right side
    235,128,345x = 137,437,441,578,764,720
  5. Step 5: Solve for x
    x = 137,437,441,578,764,720/235,128,345
  6. Step 6: Final answer
    x = 584,520,941.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.