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Finding the Third Proportional to 302,607 and 658,575

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Solution

The third proportional to 302,607 and 658,575 is: 1,433,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,607 : 658,575 = 658,575 : x
  2. Step 2: Convert to fraction form
    302,607/658,575 = 658,575/x
  3. Step 3: Cross multiply
    302,607x = 658,575 × 658,575
  4. Step 4: Simplify right side
    302,607x = 433,721,030,625
  5. Step 5: Solve for x
    x = 433,721,030,625/302,607
  6. Step 6: Final answer
    x = 1,433,281.55

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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.