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Finding the Third Proportional to 420,402 and 604,359

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Solution

The third proportional to 420,402 and 604,359 is: 868,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,402 : 604,359 = 604,359 : x
  2. Step 2: Convert to fraction form
    420,402/604,359 = 604,359/x
  3. Step 3: Cross multiply
    420,402x = 604,359 × 604,359
  4. Step 4: Simplify right side
    420,402x = 365,249,800,881
  5. Step 5: Solve for x
    x = 365,249,800,881/420,402
  6. Step 6: Final answer
    x = 868,810.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.