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Finding the Third Proportional to 469,004 and 727,164

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Solution

The third proportional to 469,004 and 727,164 is: 1,127,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,004 : 727,164 = 727,164 : x
  2. Step 2: Convert to fraction form
    469,004/727,164 = 727,164/x
  3. Step 3: Cross multiply
    469,004x = 727,164 × 727,164
  4. Step 4: Simplify right side
    469,004x = 528,767,482,896
  5. Step 5: Solve for x
    x = 528,767,482,896/469,004
  6. Step 6: Final answer
    x = 1,127,426.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.