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Finding the Third Proportional to 426,075.75 and 928,417.50

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Solution

The third proportional to 426,075.75 and 928,417.50 is: 2,023,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,075.75 : 928,417.50 = 928,417.50 : x
  2. Step 2: Convert to fraction form
    426,075.75/928,417.50 = 928,417.50/x
  3. Step 3: Cross multiply
    426,075.75x = 928,417.50 × 928,417.50
  4. Step 4: Simplify right side
    426,075.75x = 861,959,054,306.25
  5. Step 5: Solve for x
    x = 861,959,054,306.25/426,075.75
  6. Step 6: Final answer
    x = 2,023,018.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.