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Finding the Third Proportional to 319,415,328 and 653,966,400

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Solution

The third proportional to 319,415,328 and 653,966,400 is: 1,338,921,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,415,328 : 653,966,400 = 653,966,400 : x
  2. Step 2: Convert to fraction form
    319,415,328/653,966,400 = 653,966,400/x
  3. Step 3: Cross multiply
    319,415,328x = 653,966,400 × 653,966,400
  4. Step 4: Simplify right side
    319,415,328x = 427,672,052,328,960,000
  5. Step 5: Solve for x
    x = 427,672,052,328,960,000/319,415,328
  6. Step 6: Final answer
    x = 1,338,921,507.01

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