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Finding the Third Proportional to 402,461 and 874,808.50

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Solution

The third proportional to 402,461 and 874,808.50 is: 1,901,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,461 : 874,808.50 = 874,808.50 : x
  2. Step 2: Convert to fraction form
    402,461/874,808.50 = 874,808.50/x
  3. Step 3: Cross multiply
    402,461x = 874,808.50 × 874,808.50
  4. Step 4: Simplify right side
    402,461x = 765,289,911,672.25
  5. Step 5: Solve for x
    x = 765,289,911,672.25/402,461
  6. Step 6: Final answer
    x = 1,901,525.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.