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Finding the Third Proportional to 602,504 and 870,585.50

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Solution

The third proportional to 602,504 and 870,585.50 is: 1,257,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,504 : 870,585.50 = 870,585.50 : x
  2. Step 2: Convert to fraction form
    602,504/870,585.50 = 870,585.50/x
  3. Step 3: Cross multiply
    602,504x = 870,585.50 × 870,585.50
  4. Step 4: Simplify right side
    602,504x = 757,919,112,810.25
  5. Step 5: Solve for x
    x = 757,919,112,810.25/602,504
  6. Step 6: Final answer
    x = 1,257,948.68

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.