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Finding the Third Proportional to 294,332 and 623,724

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Solution

The third proportional to 294,332 and 623,724 is: 1,321,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,332 : 623,724 = 623,724 : x
  2. Step 2: Convert to fraction form
    294,332/623,724 = 623,724/x
  3. Step 3: Cross multiply
    294,332x = 623,724 × 623,724
  4. Step 4: Simplify right side
    294,332x = 389,031,628,176
  5. Step 5: Solve for x
    x = 389,031,628,176/294,332
  6. Step 6: Final answer
    x = 1,321,744.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.