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Finding the Third Proportional to 296,866 and 700,095

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Solution

The third proportional to 296,866 and 700,095 is: 1,651,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,866 : 700,095 = 700,095 : x
  2. Step 2: Convert to fraction form
    296,866/700,095 = 700,095/x
  3. Step 3: Cross multiply
    296,866x = 700,095 × 700,095
  4. Step 4: Simplify right side
    296,866x = 490,133,009,025
  5. Step 5: Solve for x
    x = 490,133,009,025/296,866
  6. Step 6: Final answer
    x = 1,651,024.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.