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Finding the Third Proportional to 296,538,004 and 617,620,281.50

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Solution

The third proportional to 296,538,004 and 617,620,281.50 is: 1,286,360,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538,004 : 617,620,281.50 = 617,620,281.50 : x
  2. Step 2: Convert to fraction form
    296,538,004/617,620,281.50 = 617,620,281.50/x
  3. Step 3: Cross multiply
    296,538,004x = 617,620,281.50 × 617,620,281.50
  4. Step 4: Simplify right side
    296,538,004x = 381,454,812,120,139,264
  5. Step 5: Solve for x
    x = 381,454,812,120,139,264/296,538,004
  6. Step 6: Final answer
    x = 1,286,360,624.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.