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Finding the Third Proportional to 499,751 and 712,246

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Solution

The third proportional to 499,751 and 712,246 is: 1,015,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,751 : 712,246 = 712,246 : x
  2. Step 2: Convert to fraction form
    499,751/712,246 = 712,246/x
  3. Step 3: Cross multiply
    499,751x = 712,246 × 712,246
  4. Step 4: Simplify right side
    499,751x = 507,294,364,516
  5. Step 5: Solve for x
    x = 507,294,364,516/499,751
  6. Step 6: Final answer
    x = 1,015,094.25

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.