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Finding the Third Proportional to 499,095 and 698,494.50

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Solution

The third proportional to 499,095 and 698,494.50 is: 977,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,095 : 698,494.50 = 698,494.50 : x
  2. Step 2: Convert to fraction form
    499,095/698,494.50 = 698,494.50/x
  3. Step 3: Cross multiply
    499,095x = 698,494.50 × 698,494.50
  4. Step 4: Simplify right side
    499,095x = 487,894,566,530.25
  5. Step 5: Solve for x
    x = 487,894,566,530.25/499,095
  6. Step 6: Final answer
    x = 977,558.51

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.