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Finding the Third Proportional to 436,306 and 640,097

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Solution

The third proportional to 436,306 and 640,097 is: 939,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,306 : 640,097 = 640,097 : x
  2. Step 2: Convert to fraction form
    436,306/640,097 = 640,097/x
  3. Step 3: Cross multiply
    436,306x = 640,097 × 640,097
  4. Step 4: Simplify right side
    436,306x = 409,724,169,409
  5. Step 5: Solve for x
    x = 409,724,169,409/436,306
  6. Step 6: Final answer
    x = 939,075.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.