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Finding the Third Proportional to 680,595.75 and 1,005,328.13

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Solution

The third proportional to 680,595.75 and 1,005,328.13 is: 1,484,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,595.75 : 1,005,328.13 = 1,005,328.13 : x
  2. Step 2: Convert to fraction form
    680,595.75/1,005,328.13 = 1,005,328.13/x
  3. Step 3: Cross multiply
    680,595.75x = 1,005,328.13 × 1,005,328.13
  4. Step 4: Simplify right side
    680,595.75x = 1,010,684,638,916.02
  5. Step 5: Solve for x
    x = 1,010,684,638,916.02/680,595.75
  6. Step 6: Final answer
    x = 1,484,999.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.