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Finding the Third Proportional to 556,608 and 833,457

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Solution

The third proportional to 556,608 and 833,457 is: 1,248,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,608 : 833,457 = 833,457 : x
  2. Step 2: Convert to fraction form
    556,608/833,457 = 833,457/x
  3. Step 3: Cross multiply
    556,608x = 833,457 × 833,457
  4. Step 4: Simplify right side
    556,608x = 694,650,570,849
  5. Step 5: Solve for x
    x = 694,650,570,849/556,608
  6. Step 6: Final answer
    x = 1,248,006.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.