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Finding the Third Proportional to 375,909 and 575,772

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Solution

The third proportional to 375,909 and 575,772 is: 881,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,909 : 575,772 = 575,772 : x
  2. Step 2: Convert to fraction form
    375,909/575,772 = 575,772/x
  3. Step 3: Cross multiply
    375,909x = 575,772 × 575,772
  4. Step 4: Simplify right side
    375,909x = 331,513,395,984
  5. Step 5: Solve for x
    x = 331,513,395,984/375,909
  6. Step 6: Final answer
    x = 881,898.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.