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Finding the Third Proportional to 286,695 and 455,468.06

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Solution

The third proportional to 286,695 and 455,468.06 is: 723,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,695 : 455,468.06 = 455,468.06 : x
  2. Step 2: Convert to fraction form
    286,695/455,468.06 = 455,468.06/x
  3. Step 3: Cross multiply
    286,695x = 455,468.06 × 455,468.06
  4. Step 4: Simplify right side
    286,695x = 207,451,155,957.50
  5. Step 5: Solve for x
    x = 207,451,155,957.50/286,695
  6. Step 6: Final answer
    x = 723,595.30

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