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Finding the Third Proportional to 370,508 and 574,066

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Solution

The third proportional to 370,508 and 574,066 is: 889,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,508 : 574,066 = 574,066 : x
  2. Step 2: Convert to fraction form
    370,508/574,066 = 574,066/x
  3. Step 3: Cross multiply
    370,508x = 574,066 × 574,066
  4. Step 4: Simplify right side
    370,508x = 329,551,772,356
  5. Step 5: Solve for x
    x = 329,551,772,356/370,508
  6. Step 6: Final answer
    x = 889,459.26

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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.