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Finding the Third Proportional to 526,392 and 750,168

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Solution

The third proportional to 526,392 and 750,168 is: 1,069,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,392 : 750,168 = 750,168 : x
  2. Step 2: Convert to fraction form
    526,392/750,168 = 750,168/x
  3. Step 3: Cross multiply
    526,392x = 750,168 × 750,168
  4. Step 4: Simplify right side
    526,392x = 562,752,028,224
  5. Step 5: Solve for x
    x = 562,752,028,224/526,392
  6. Step 6: Final answer
    x = 1,069,074.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.