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Finding the Third Proportional to 423,636 and 660,461

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Solution

The third proportional to 423,636 and 660,461 is: 1,029,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,636 : 660,461 = 660,461 : x
  2. Step 2: Convert to fraction form
    423,636/660,461 = 660,461/x
  3. Step 3: Cross multiply
    423,636x = 660,461 × 660,461
  4. Step 4: Simplify right side
    423,636x = 436,208,732,521
  5. Step 5: Solve for x
    x = 436,208,732,521/423,636
  6. Step 6: Final answer
    x = 1,029,678.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.