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Finding the Third Proportional to 808,741.50 and 1,731,088.25

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Solution

The third proportional to 808,741.50 and 1,731,088.25 is: 3,705,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,741.50 : 1,731,088.25 = 1,731,088.25 : x
  2. Step 2: Convert to fraction form
    808,741.50/1,731,088.25 = 1,731,088.25/x
  3. Step 3: Cross multiply
    808,741.50x = 1,731,088.25 × 1,731,088.25
  4. Step 4: Simplify right side
    808,741.50x = 2,996,666,529,288.06
  5. Step 5: Solve for x
    x = 2,996,666,529,288.06/808,741.50
  6. Step 6: Final answer
    x = 3,705,345.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.