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Finding the Third Proportional to 302,575 and 713,240

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Solution

The third proportional to 302,575 and 713,240 is: 1,681,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,575 : 713,240 = 713,240 : x
  2. Step 2: Convert to fraction form
    302,575/713,240 = 713,240/x
  3. Step 3: Cross multiply
    302,575x = 713,240 × 713,240
  4. Step 4: Simplify right side
    302,575x = 508,711,297,600
  5. Step 5: Solve for x
    x = 508,711,297,600/302,575
  6. Step 6: Final answer
    x = 1,681,273.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.