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Finding the Third Proportional to 430,525 and 938,553

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Solution

The third proportional to 430,525 and 938,553 is: 2,046,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,525 : 938,553 = 938,553 : x
  2. Step 2: Convert to fraction form
    430,525/938,553 = 938,553/x
  3. Step 3: Cross multiply
    430,525x = 938,553 × 938,553
  4. Step 4: Simplify right side
    430,525x = 880,881,733,809
  5. Step 5: Solve for x
    x = 880,881,733,809/430,525
  6. Step 6: Final answer
    x = 2,046,064.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.