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Finding the Third Proportional to 429,246 and 683,272.13

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Solution

The third proportional to 429,246 and 683,272.13 is: 1,087,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,246 : 683,272.13 = 683,272.13 : x
  2. Step 2: Convert to fraction form
    429,246/683,272.13 = 683,272.13/x
  3. Step 3: Cross multiply
    429,246x = 683,272.13 × 683,272.13
  4. Step 4: Simplify right side
    429,246x = 466,860,796,802.02
  5. Step 5: Solve for x
    x = 466,860,796,802.02/429,246
  6. Step 6: Final answer
    x = 1,087,629.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.