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Finding the Third Proportional to 597,888 and 907,903

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Solution

The third proportional to 597,888 and 907,903 is: 1,378,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,888 : 907,903 = 907,903 : x
  2. Step 2: Convert to fraction form
    597,888/907,903 = 907,903/x
  3. Step 3: Cross multiply
    597,888x = 907,903 × 907,903
  4. Step 4: Simplify right side
    597,888x = 824,287,857,409
  5. Step 5: Solve for x
    x = 824,287,857,409/597,888
  6. Step 6: Final answer
    x = 1,378,666.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.