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Finding the Third Proportional to 370,303 and 807,506

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Solution

The third proportional to 370,303 and 807,506 is: 1,760,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,303 : 807,506 = 807,506 : x
  2. Step 2: Convert to fraction form
    370,303/807,506 = 807,506/x
  3. Step 3: Cross multiply
    370,303x = 807,506 × 807,506
  4. Step 4: Simplify right side
    370,303x = 652,065,940,036
  5. Step 5: Solve for x
    x = 652,065,940,036/370,303
  6. Step 6: Final answer
    x = 1,760,898.35

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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.