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Finding the Third Proportional to 245,388 and 529,437

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Solution

The third proportional to 245,388 and 529,437 is: 1,142,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,388 : 529,437 = 529,437 : x
  2. Step 2: Convert to fraction form
    245,388/529,437 = 529,437/x
  3. Step 3: Cross multiply
    245,388x = 529,437 × 529,437
  4. Step 4: Simplify right side
    245,388x = 280,303,536,969
  5. Step 5: Solve for x
    x = 280,303,536,969/245,388
  6. Step 6: Final answer
    x = 1,142,287.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.