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Finding the Third Proportional to 351,785.50 and 829,607.75

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Solution

The third proportional to 351,785.50 and 829,607.75 is: 1,956,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,785.50 : 829,607.75 = 829,607.75 : x
  2. Step 2: Convert to fraction form
    351,785.50/829,607.75 = 829,607.75/x
  3. Step 3: Cross multiply
    351,785.50x = 829,607.75 × 829,607.75
  4. Step 4: Simplify right side
    351,785.50x = 688,249,018,860.06
  5. Step 5: Solve for x
    x = 688,249,018,860.06/351,785.50
  6. Step 6: Final answer
    x = 1,956,445.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.