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Finding the Third Proportional to 384,396 and 833,688

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Solution

The third proportional to 384,396 and 833,688 is: 1,808,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,396 : 833,688 = 833,688 : x
  2. Step 2: Convert to fraction form
    384,396/833,688 = 833,688/x
  3. Step 3: Cross multiply
    384,396x = 833,688 × 833,688
  4. Step 4: Simplify right side
    384,396x = 695,035,681,344
  5. Step 5: Solve for x
    x = 695,035,681,344/384,396
  6. Step 6: Final answer
    x = 1,808,124.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.