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Finding the Third Proportional to 369,702 and 756,886.50

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Solution

The third proportional to 369,702 and 756,886.50 is: 1,549,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,702 : 756,886.50 = 756,886.50 : x
  2. Step 2: Convert to fraction form
    369,702/756,886.50 = 756,886.50/x
  3. Step 3: Cross multiply
    369,702x = 756,886.50 × 756,886.50
  4. Step 4: Simplify right side
    369,702x = 572,877,173,882.25
  5. Step 5: Solve for x
    x = 572,877,173,882.25/369,702
  6. Step 6: Final answer
    x = 1,549,564.71

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.