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Finding the Third Proportional to 527,925,657 and 798,683,301

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Solution

The third proportional to 527,925,657 and 798,683,301 is: 1,208,304,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,925,657 : 798,683,301 = 798,683,301 : x
  2. Step 2: Convert to fraction form
    527,925,657/798,683,301 = 798,683,301/x
  3. Step 3: Cross multiply
    527,925,657x = 798,683,301 × 798,683,301
  4. Step 4: Simplify right side
    527,925,657x = 637,895,015,296,256,640
  5. Step 5: Solve for x
    x = 637,895,015,296,256,640/527,925,657
  6. Step 6: Final answer
    x = 1,208,304,629.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.