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Finding the Third Proportional to 429,381 and 646,987.50

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Solution

The third proportional to 429,381 and 646,987.50 is: 974,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,381 : 646,987.50 = 646,987.50 : x
  2. Step 2: Convert to fraction form
    429,381/646,987.50 = 646,987.50/x
  3. Step 3: Cross multiply
    429,381x = 646,987.50 × 646,987.50
  4. Step 4: Simplify right side
    429,381x = 418,592,825,156.25
  5. Step 5: Solve for x
    x = 418,592,825,156.25/429,381
  6. Step 6: Final answer
    x = 974,875.05

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