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Finding the Third Proportional to 255,762 and 556,488

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Solution

The third proportional to 255,762 and 556,488 is: 1,210,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,762 : 556,488 = 556,488 : x
  2. Step 2: Convert to fraction form
    255,762/556,488 = 556,488/x
  3. Step 3: Cross multiply
    255,762x = 556,488 × 556,488
  4. Step 4: Simplify right side
    255,762x = 309,678,894,144
  5. Step 5: Solve for x
    x = 309,678,894,144/255,762
  6. Step 6: Final answer
    x = 1,210,808.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.