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Finding the Third Proportional to 314,852,214 and 493,865,469

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Solution

The third proportional to 314,852,214 and 493,865,469 is: 774,659,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,852,214 : 493,865,469 = 493,865,469 : x
  2. Step 2: Convert to fraction form
    314,852,214/493,865,469 = 493,865,469/x
  3. Step 3: Cross multiply
    314,852,214x = 493,865,469 × 493,865,469
  4. Step 4: Simplify right side
    314,852,214x = 243,903,101,470,589,952
  5. Step 5: Solve for x
    x = 243,903,101,470,589,952/314,852,214
  6. Step 6: Final answer
    x = 774,659,000.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.