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Finding the Third Proportional to 456,501 and 709,669.50

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Solution

The third proportional to 456,501 and 709,669.50 is: 1,103,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,501 : 709,669.50 = 709,669.50 : x
  2. Step 2: Convert to fraction form
    456,501/709,669.50 = 709,669.50/x
  3. Step 3: Cross multiply
    456,501x = 709,669.50 × 709,669.50
  4. Step 4: Simplify right side
    456,501x = 503,630,799,230.25
  5. Step 5: Solve for x
    x = 503,630,799,230.25/456,501
  6. Step 6: Final answer
    x = 1,103,241.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.