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Finding the Third Proportional to 672,714 and 1,038,815.50

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Solution

The third proportional to 672,714 and 1,038,815.50 is: 1,604,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,714 : 1,038,815.50 = 1,038,815.50 : x
  2. Step 2: Convert to fraction form
    672,714/1,038,815.50 = 1,038,815.50/x
  3. Step 3: Cross multiply
    672,714x = 1,038,815.50 × 1,038,815.50
  4. Step 4: Simplify right side
    672,714x = 1,079,137,643,040.25
  5. Step 5: Solve for x
    x = 1,079,137,643,040.25/672,714
  6. Step 6: Final answer
    x = 1,604,155.17

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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.