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Finding the Third Proportional to 230,174,208 and 493,179,624

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Solution

The third proportional to 230,174,208 and 493,179,624 is: 1,056,704,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,174,208 : 493,179,624 = 493,179,624 : x
  2. Step 2: Convert to fraction form
    230,174,208/493,179,624 = 493,179,624/x
  3. Step 3: Cross multiply
    230,174,208x = 493,179,624 × 493,179,624
  4. Step 4: Simplify right side
    230,174,208x = 243,226,141,528,781,376
  5. Step 5: Solve for x
    x = 243,226,141,528,781,376/230,174,208
  6. Step 6: Final answer
    x = 1,056,704,587.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.