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Finding the Third Proportional to 296,232 and 423,316

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Solution

The third proportional to 296,232 and 423,316 is: 604,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,232 : 423,316 = 423,316 : x
  2. Step 2: Convert to fraction form
    296,232/423,316 = 423,316/x
  3. Step 3: Cross multiply
    296,232x = 423,316 × 423,316
  4. Step 4: Simplify right side
    296,232x = 179,196,435,856
  5. Step 5: Solve for x
    x = 179,196,435,856/296,232
  6. Step 6: Final answer
    x = 604,919.24

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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.