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Finding the Third Proportional to 575,934 and 775,326

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Solution

The third proportional to 575,934 and 775,326 is: 1,043,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,934 : 775,326 = 775,326 : x
  2. Step 2: Convert to fraction form
    575,934/775,326 = 775,326/x
  3. Step 3: Cross multiply
    575,934x = 775,326 × 775,326
  4. Step 4: Simplify right side
    575,934x = 601,130,406,276
  5. Step 5: Solve for x
    x = 601,130,406,276/575,934
  6. Step 6: Final answer
    x = 1,043,748.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.