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Finding the Third Proportional to 370,580 and 808,072

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Solution

The third proportional to 370,580 and 808,072 is: 1,762,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,580 : 808,072 = 808,072 : x
  2. Step 2: Convert to fraction form
    370,580/808,072 = 808,072/x
  3. Step 3: Cross multiply
    370,580x = 808,072 × 808,072
  4. Step 4: Simplify right side
    370,580x = 652,980,357,184
  5. Step 5: Solve for x
    x = 652,980,357,184/370,580
  6. Step 6: Final answer
    x = 1,762,049.64

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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.