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Finding the Third Proportional to 304,635.94 and 473,607

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Solution

The third proportional to 304,635.94 and 473,607 is: 736,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,635.94 : 473,607 = 473,607 : x
  2. Step 2: Convert to fraction form
    304,635.94/473,607 = 473,607/x
  3. Step 3: Cross multiply
    304,635.94x = 473,607 × 473,607
  4. Step 4: Simplify right side
    304,635.94x = 224,303,590,449
  5. Step 5: Solve for x
    x = 224,303,590,449/304,635.94
  6. Step 6: Final answer
    x = 736,300.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.