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Finding the Third Proportional to 346,988 and 803,216

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Solution

The third proportional to 346,988 and 803,216 is: 1,859,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,988 : 803,216 = 803,216 : x
  2. Step 2: Convert to fraction form
    346,988/803,216 = 803,216/x
  3. Step 3: Cross multiply
    346,988x = 803,216 × 803,216
  4. Step 4: Simplify right side
    346,988x = 645,155,942,656
  5. Step 5: Solve for x
    x = 645,155,942,656/346,988
  6. Step 6: Final answer
    x = 1,859,303.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.