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Finding the Third Proportional to 301,232 and 652,056

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Solution

The third proportional to 301,232 and 652,056 is: 1,411,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,232 : 652,056 = 652,056 : x
  2. Step 2: Convert to fraction form
    301,232/652,056 = 652,056/x
  3. Step 3: Cross multiply
    301,232x = 652,056 × 652,056
  4. Step 4: Simplify right side
    301,232x = 425,177,027,136
  5. Step 5: Solve for x
    x = 425,177,027,136/301,232
  6. Step 6: Final answer
    x = 1,411,460.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.