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Finding the Third Proportional to 510,985.13 and 793,459.13

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Solution

The third proportional to 510,985.13 and 793,459.13 is: 1,232,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,985.13 : 793,459.13 = 793,459.13 : x
  2. Step 2: Convert to fraction form
    510,985.13/793,459.13 = 793,459.13/x
  3. Step 3: Cross multiply
    510,985.13x = 793,459.13 × 793,459.13
  4. Step 4: Simplify right side
    510,985.13x = 629,577,383,045.77
  5. Step 5: Solve for x
    x = 629,577,383,045.77/510,985.13
  6. Step 6: Final answer
    x = 1,232,085.54

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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.