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Finding the Third Proportional to 296,237 and 423,323

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Solution

The third proportional to 296,237 and 423,323 is: 604,929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,237 : 423,323 = 423,323 : x
  2. Step 2: Convert to fraction form
    296,237/423,323 = 423,323/x
  3. Step 3: Cross multiply
    296,237x = 423,323 × 423,323
  4. Step 4: Simplify right side
    296,237x = 179,202,362,329
  5. Step 5: Solve for x
    x = 179,202,362,329/296,237
  6. Step 6: Final answer
    x = 604,929.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.