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Finding the Third Proportional to 377,257.50 and 808,501.50

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Solution

The third proportional to 377,257.50 and 808,501.50 is: 1,732,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,257.50 : 808,501.50 = 808,501.50 : x
  2. Step 2: Convert to fraction form
    377,257.50/808,501.50 = 808,501.50/x
  3. Step 3: Cross multiply
    377,257.50x = 808,501.50 × 808,501.50
  4. Step 4: Simplify right side
    377,257.50x = 653,674,675,502.25
  5. Step 5: Solve for x
    x = 653,674,675,502.25/377,257.50
  6. Step 6: Final answer
    x = 1,732,701.60

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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.