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Finding the Third Proportional to 344,712 and 535,111.50

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Solution

The third proportional to 344,712 and 535,111.50 is: 830,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,712 : 535,111.50 = 535,111.50 : x
  2. Step 2: Convert to fraction form
    344,712/535,111.50 = 535,111.50/x
  3. Step 3: Cross multiply
    344,712x = 535,111.50 × 535,111.50
  4. Step 4: Simplify right side
    344,712x = 286,344,317,432.25
  5. Step 5: Solve for x
    x = 286,344,317,432.25/344,712
  6. Step 6: Final answer
    x = 830,676.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.