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Finding the Third Proportional to 255,368 and 518,032

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Solution

The third proportional to 255,368 and 518,032 is: 1,050,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,368 : 518,032 = 518,032 : x
  2. Step 2: Convert to fraction form
    255,368/518,032 = 518,032/x
  3. Step 3: Cross multiply
    255,368x = 518,032 × 518,032
  4. Step 4: Simplify right side
    255,368x = 268,357,153,024
  5. Step 5: Solve for x
    x = 268,357,153,024/255,368
  6. Step 6: Final answer
    x = 1,050,864.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.