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Finding the Third Proportional to 429,727.50 and 910,681.88

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Solution

The third proportional to 429,727.50 and 910,681.88 is: 1,929,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,727.50 : 910,681.88 = 910,681.88 : x
  2. Step 2: Convert to fraction form
    429,727.50/910,681.88 = 910,681.88/x
  3. Step 3: Cross multiply
    429,727.50x = 910,681.88 × 910,681.88
  4. Step 4: Simplify right side
    429,727.50x = 829,341,477,453.52
  5. Step 5: Solve for x
    x = 829,341,477,453.52/429,727.50
  6. Step 6: Final answer
    x = 1,929,924.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.