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Finding the Third Proportional to 581,452 and 785,346

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Solution

The third proportional to 581,452 and 785,346 is: 1,060,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,452 : 785,346 = 785,346 : x
  2. Step 2: Convert to fraction form
    581,452/785,346 = 785,346/x
  3. Step 3: Cross multiply
    581,452x = 785,346 × 785,346
  4. Step 4: Simplify right side
    581,452x = 616,768,339,716
  5. Step 5: Solve for x
    x = 616,768,339,716/581,452
  6. Step 6: Final answer
    x = 1,060,738.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.