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Finding the Third Proportional to 329,725,983 and 510,083,829

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Solution

The third proportional to 329,725,983 and 510,083,829 is: 789,096,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,725,983 : 510,083,829 = 510,083,829 : x
  2. Step 2: Convert to fraction form
    329,725,983/510,083,829 = 510,083,829/x
  3. Step 3: Cross multiply
    329,725,983x = 510,083,829 × 510,083,829
  4. Step 4: Simplify right side
    329,725,983x = 260,185,512,607,301,248
  5. Step 5: Solve for x
    x = 260,185,512,607,301,248/329,725,983
  6. Step 6: Final answer
    x = 789,096,176.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.