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Finding the Third Proportional to 237,643 and 528,417

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Solution

The third proportional to 237,643 and 528,417 is: 1,174,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,643 : 528,417 = 528,417 : x
  2. Step 2: Convert to fraction form
    237,643/528,417 = 528,417/x
  3. Step 3: Cross multiply
    237,643x = 528,417 × 528,417
  4. Step 4: Simplify right side
    237,643x = 279,224,525,889
  5. Step 5: Solve for x
    x = 279,224,525,889/237,643
  6. Step 6: Final answer
    x = 1,174,974.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.