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Finding the Third Proportional to 360,473,298 and 740,056,200

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Solution

The third proportional to 360,473,298 and 740,056,200 is: 1,519,344,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,473,298 : 740,056,200 = 740,056,200 : x
  2. Step 2: Convert to fraction form
    360,473,298/740,056,200 = 740,056,200/x
  3. Step 3: Cross multiply
    360,473,298x = 740,056,200 × 740,056,200
  4. Step 4: Simplify right side
    360,473,298x = 547,683,179,158,440,000
  5. Step 5: Solve for x
    x = 547,683,179,158,440,000/360,473,298
  6. Step 6: Final answer
    x = 1,519,344,656.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.