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Finding the Third Proportional to 593,895 and 956,209.50

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Solution

The third proportional to 593,895 and 956,209.50 is: 1,539,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,895 : 956,209.50 = 956,209.50 : x
  2. Step 2: Convert to fraction form
    593,895/956,209.50 = 956,209.50/x
  3. Step 3: Cross multiply
    593,895x = 956,209.50 × 956,209.50
  4. Step 4: Simplify right side
    593,895x = 914,336,607,890.25
  5. Step 5: Solve for x
    x = 914,336,607,890.25/593,895
  6. Step 6: Final answer
    x = 1,539,559.36

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.