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Finding the Third Proportional to 630,729.84 and 953,618.91

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Solution

The third proportional to 630,729.84 and 953,618.91 is: 1,441,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,729.84 : 953,618.91 = 953,618.91 : x
  2. Step 2: Convert to fraction form
    630,729.84/953,618.91 = 953,618.91/x
  3. Step 3: Cross multiply
    630,729.84x = 953,618.91 × 953,618.91
  4. Step 4: Simplify right side
    630,729.84x = 909,389,018,357.45
  5. Step 5: Solve for x
    x = 909,389,018,357.45/630,729.84
  6. Step 6: Final answer
    x = 1,441,804.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.