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Finding the Third Proportional to 466,336 and 684,202

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Solution

The third proportional to 466,336 and 684,202 is: 1,003,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,336 : 684,202 = 684,202 : x
  2. Step 2: Convert to fraction form
    466,336/684,202 = 684,202/x
  3. Step 3: Cross multiply
    466,336x = 684,202 × 684,202
  4. Step 4: Simplify right side
    466,336x = 468,132,376,804
  5. Step 5: Solve for x
    x = 468,132,376,804/466,336
  6. Step 6: Final answer
    x = 1,003,852.11

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Why These Related Problems?

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