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Finding the Third Proportional to 266,352 and 577,008

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Solution

The third proportional to 266,352 and 577,008 is: 1,249,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,352 : 577,008 = 577,008 : x
  2. Step 2: Convert to fraction form
    266,352/577,008 = 577,008/x
  3. Step 3: Cross multiply
    266,352x = 577,008 × 577,008
  4. Step 4: Simplify right side
    266,352x = 332,938,232,064
  5. Step 5: Solve for x
    x = 332,938,232,064/266,352
  6. Step 6: Final answer
    x = 1,249,993.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.