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Finding the Third Proportional to 302,537 and 402,502

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Solution

The third proportional to 302,537 and 402,502 is: 535,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,537 : 402,502 = 402,502 : x
  2. Step 2: Convert to fraction form
    302,537/402,502 = 402,502/x
  3. Step 3: Cross multiply
    302,537x = 402,502 × 402,502
  4. Step 4: Simplify right side
    302,537x = 162,007,860,004
  5. Step 5: Solve for x
    x = 162,007,860,004/302,537
  6. Step 6: Final answer
    x = 535,497.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.