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Finding the Third Proportional to 317,833 and 696,362

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Solution

The third proportional to 317,833 and 696,362 is: 1,525,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,833 : 696,362 = 696,362 : x
  2. Step 2: Convert to fraction form
    317,833/696,362 = 696,362/x
  3. Step 3: Cross multiply
    317,833x = 696,362 × 696,362
  4. Step 4: Simplify right side
    317,833x = 484,920,035,044
  5. Step 5: Solve for x
    x = 484,920,035,044/317,833
  6. Step 6: Final answer
    x = 1,525,707.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.