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Finding the Third Proportional to 233,348.34 and 508,931.44

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Solution

The third proportional to 233,348.34 and 508,931.44 is: 1,109,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,348.34 : 508,931.44 = 508,931.44 : x
  2. Step 2: Convert to fraction form
    233,348.34/508,931.44 = 508,931.44/x
  3. Step 3: Cross multiply
    233,348.34x = 508,931.44 × 508,931.44
  4. Step 4: Simplify right side
    233,348.34x = 259,011,208,075.82
  5. Step 5: Solve for x
    x = 259,011,208,075.82/233,348.34
  6. Step 6: Final answer
    x = 1,109,976.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.