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Finding the Third Proportional to 259,304 and 554,528

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Solution

The third proportional to 259,304 and 554,528 is: 1,185,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,304 : 554,528 = 554,528 : x
  2. Step 2: Convert to fraction form
    259,304/554,528 = 554,528/x
  3. Step 3: Cross multiply
    259,304x = 554,528 × 554,528
  4. Step 4: Simplify right side
    259,304x = 307,501,302,784
  5. Step 5: Solve for x
    x = 307,501,302,784/259,304
  6. Step 6: Final answer
    x = 1,185,871.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.