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Finding the Third Proportional to 296,683 and 459,253

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Solution

The third proportional to 296,683 and 459,253 is: 710,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,683 : 459,253 = 459,253 : x
  2. Step 2: Convert to fraction form
    296,683/459,253 = 459,253/x
  3. Step 3: Cross multiply
    296,683x = 459,253 × 459,253
  4. Step 4: Simplify right side
    296,683x = 210,913,318,009
  5. Step 5: Solve for x
    x = 210,913,318,009/296,683
  6. Step 6: Final answer
    x = 710,904.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.