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Finding the Third Proportional to 499,683 and 712,158

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Solution

The third proportional to 499,683 and 712,158 is: 1,014,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,683 : 712,158 = 712,158 : x
  2. Step 2: Convert to fraction form
    499,683/712,158 = 712,158/x
  3. Step 3: Cross multiply
    499,683x = 712,158 × 712,158
  4. Step 4: Simplify right side
    499,683x = 507,169,016,964
  5. Step 5: Solve for x
    x = 507,169,016,964/499,683
  6. Step 6: Final answer
    x = 1,014,981.53

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Why These Related Problems?

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