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Finding the Third Proportional to 646,258.50 and 1,005,063.19

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Solution

The third proportional to 646,258.50 and 1,005,063.19 is: 1,563,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,258.50 : 1,005,063.19 = 1,005,063.19 : x
  2. Step 2: Convert to fraction form
    646,258.50/1,005,063.19 = 1,005,063.19/x
  3. Step 3: Cross multiply
    646,258.50x = 1,005,063.19 × 1,005,063.19
  4. Step 4: Simplify right side
    646,258.50x = 1,010,152,010,867.66
  5. Step 5: Solve for x
    x = 1,010,152,010,867.66/646,258.50
  6. Step 6: Final answer
    x = 1,563,077.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.