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Finding the Third Proportional to 314,852,236 and 493,865,503

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Solution

The third proportional to 314,852,236 and 493,865,503 is: 774,659,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,852,236 : 493,865,503 = 493,865,503 : x
  2. Step 2: Convert to fraction form
    314,852,236/493,865,503 = 493,865,503/x
  3. Step 3: Cross multiply
    314,852,236x = 493,865,503 × 493,865,503
  4. Step 4: Simplify right side
    314,852,236x = 243,903,135,053,443,008
  5. Step 5: Solve for x
    x = 243,903,135,053,443,008/314,852,236
  6. Step 6: Final answer
    x = 774,659,053.25

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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.