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Finding the Third Proportional to 342,345 and 525,066

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Solution

The third proportional to 342,345 and 525,066 is: 805,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,345 : 525,066 = 525,066 : x
  2. Step 2: Convert to fraction form
    342,345/525,066 = 525,066/x
  3. Step 3: Cross multiply
    342,345x = 525,066 × 525,066
  4. Step 4: Simplify right side
    342,345x = 275,694,304,356
  5. Step 5: Solve for x
    x = 275,694,304,356/342,345
  6. Step 6: Final answer
    x = 805,311.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.