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Finding the Third Proportional to 302,577 and 411,133.50

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Solution

The third proportional to 302,577 and 411,133.50 is: 558,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,577 : 411,133.50 = 411,133.50 : x
  2. Step 2: Convert to fraction form
    302,577/411,133.50 = 411,133.50/x
  3. Step 3: Cross multiply
    302,577x = 411,133.50 × 411,133.50
  4. Step 4: Simplify right side
    302,577x = 169,030,754,822.25
  5. Step 5: Solve for x
    x = 169,030,754,822.25/302,577
  6. Step 6: Final answer
    x = 558,637.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.