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Finding the Third Proportional to 370,572 and 808,056

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Solution

The third proportional to 370,572 and 808,056 is: 1,762,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,572 : 808,056 = 808,056 : x
  2. Step 2: Convert to fraction form
    370,572/808,056 = 808,056/x
  3. Step 3: Cross multiply
    370,572x = 808,056 × 808,056
  4. Step 4: Simplify right side
    370,572x = 652,954,499,136
  5. Step 5: Solve for x
    x = 652,954,499,136/370,572
  6. Step 6: Final answer
    x = 1,762,017.91

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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.