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Finding the Third Proportional to 692,482.64 and 1,106,255.72

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Solution

The third proportional to 692,482.64 and 1,106,255.72 is: 1,767,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,482.64 : 1,106,255.72 = 1,106,255.72 : x
  2. Step 2: Convert to fraction form
    692,482.64/1,106,255.72 = 1,106,255.72/x
  3. Step 3: Cross multiply
    692,482.64x = 1,106,255.72 × 1,106,255.72
  4. Step 4: Simplify right side
    692,482.64x = 1,223,801,718,507.97
  5. Step 5: Solve for x
    x = 1,223,801,718,507.97/692,482.64
  6. Step 6: Final answer
    x = 1,767,267.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.