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Finding the Third Proportional to 459,303 and 653,232

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Solution

The third proportional to 459,303 and 653,232 is: 929,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,303 : 653,232 = 653,232 : x
  2. Step 2: Convert to fraction form
    459,303/653,232 = 653,232/x
  3. Step 3: Cross multiply
    459,303x = 653,232 × 653,232
  4. Step 4: Simplify right side
    459,303x = 426,712,045,824
  5. Step 5: Solve for x
    x = 426,712,045,824/459,303
  6. Step 6: Final answer
    x = 929,042.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.