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Finding the Third Proportional to 344,715 and 535,116.50

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Solution

The third proportional to 344,715 and 535,116.50 is: 830,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,715 : 535,116.50 = 535,116.50 : x
  2. Step 2: Convert to fraction form
    344,715/535,116.50 = 535,116.50/x
  3. Step 3: Cross multiply
    344,715x = 535,116.50 × 535,116.50
  4. Step 4: Simplify right side
    344,715x = 286,349,668,572.25
  5. Step 5: Solve for x
    x = 286,349,668,572.25/344,715
  6. Step 6: Final answer
    x = 830,685.26

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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.