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Finding the Third Proportional to 456,550 and 709,692.50

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Solution

The third proportional to 456,550 and 709,692.50 is: 1,103,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,550 : 709,692.50 = 709,692.50 : x
  2. Step 2: Convert to fraction form
    456,550/709,692.50 = 709,692.50/x
  3. Step 3: Cross multiply
    456,550x = 709,692.50 × 709,692.50
  4. Step 4: Simplify right side
    456,550x = 503,663,444,556.25
  5. Step 5: Solve for x
    x = 503,663,444,556.25/456,550
  6. Step 6: Final answer
    x = 1,103,194.49

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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.