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Finding the Third Proportional to 535,233 and 788,064.50

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Solution

The third proportional to 535,233 and 788,064.50 is: 1,160,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,233 : 788,064.50 = 788,064.50 : x
  2. Step 2: Convert to fraction form
    535,233/788,064.50 = 788,064.50/x
  3. Step 3: Cross multiply
    535,233x = 788,064.50 × 788,064.50
  4. Step 4: Simplify right side
    535,233x = 621,045,656,160.25
  5. Step 5: Solve for x
    x = 621,045,656,160.25/535,233
  6. Step 6: Final answer
    x = 1,160,327.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.