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Finding the Third Proportional to 317,526 and 437,409

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Solution

The third proportional to 317,526 and 437,409 is: 602,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,526 : 437,409 = 437,409 : x
  2. Step 2: Convert to fraction form
    317,526/437,409 = 437,409/x
  3. Step 3: Cross multiply
    317,526x = 437,409 × 437,409
  4. Step 4: Simplify right side
    317,526x = 191,326,633,281
  5. Step 5: Solve for x
    x = 191,326,633,281/317,526
  6. Step 6: Final answer
    x = 602,554.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.