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Finding the Third Proportional to 314,550 and 500,323.50

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Solution

The third proportional to 314,550 and 500,323.50 is: 795,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,550 : 500,323.50 = 500,323.50 : x
  2. Step 2: Convert to fraction form
    314,550/500,323.50 = 500,323.50/x
  3. Step 3: Cross multiply
    314,550x = 500,323.50 × 500,323.50
  4. Step 4: Simplify right side
    314,550x = 250,323,604,652.25
  5. Step 5: Solve for x
    x = 250,323,604,652.25/314,550
  6. Step 6: Final answer
    x = 795,814.99

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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.