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Finding the Third Proportional to 562,185.50 and 863,585.50

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Solution

The third proportional to 562,185.50 and 863,585.50 is: 1,326,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,185.50 : 863,585.50 = 863,585.50 : x
  2. Step 2: Convert to fraction form
    562,185.50/863,585.50 = 863,585.50/x
  3. Step 3: Cross multiply
    562,185.50x = 863,585.50 × 863,585.50
  4. Step 4: Simplify right side
    562,185.50x = 745,779,915,810.25
  5. Step 5: Solve for x
    x = 745,779,915,810.25/562,185.50
  6. Step 6: Final answer
    x = 1,326,572.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.