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Finding the Third Proportional to 657,345 and 1,015,042.50

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Solution

The third proportional to 657,345 and 1,015,042.50 is: 1,567,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,345 : 1,015,042.50 = 1,015,042.50 : x
  2. Step 2: Convert to fraction form
    657,345/1,015,042.50 = 1,015,042.50/x
  3. Step 3: Cross multiply
    657,345x = 1,015,042.50 × 1,015,042.50
  4. Step 4: Simplify right side
    657,345x = 1,030,311,276,806.25
  5. Step 5: Solve for x
    x = 1,030,311,276,806.25/657,345
  6. Step 6: Final answer
    x = 1,567,382.85

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Why These Related Problems?

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