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Finding the Third Proportional to 590,332 and 907,530

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Solution

The third proportional to 590,332 and 907,530 is: 1,395,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,332 : 907,530 = 907,530 : x
  2. Step 2: Convert to fraction form
    590,332/907,530 = 907,530/x
  3. Step 3: Cross multiply
    590,332x = 907,530 × 907,530
  4. Step 4: Simplify right side
    590,332x = 823,610,700,900
  5. Step 5: Solve for x
    x = 823,610,700,900/590,332
  6. Step 6: Final answer
    x = 1,395,165.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.