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Finding the Third Proportional to 245,840 and 531,046

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Solution

The third proportional to 245,840 and 531,046 is: 1,147,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,840 : 531,046 = 531,046 : x
  2. Step 2: Convert to fraction form
    245,840/531,046 = 531,046/x
  3. Step 3: Cross multiply
    245,840x = 531,046 × 531,046
  4. Step 4: Simplify right side
    245,840x = 282,009,854,116
  5. Step 5: Solve for x
    x = 282,009,854,116/245,840
  6. Step 6: Final answer
    x = 1,147,127.62

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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.