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Finding the Third Proportional to 370,582 and 808,076

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Solution

The third proportional to 370,582 and 808,076 is: 1,762,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,582 : 808,076 = 808,076 : x
  2. Step 2: Convert to fraction form
    370,582/808,076 = 808,076/x
  3. Step 3: Cross multiply
    370,582x = 808,076 × 808,076
  4. Step 4: Simplify right side
    370,582x = 652,986,821,776
  5. Step 5: Solve for x
    x = 652,986,821,776/370,582
  6. Step 6: Final answer
    x = 1,762,057.58

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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.