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Finding the Third Proportional to 296,875 and 700,106

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Solution

The third proportional to 296,875 and 700,106 is: 1,651,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,875 : 700,106 = 700,106 : x
  2. Step 2: Convert to fraction form
    296,875/700,106 = 700,106/x
  3. Step 3: Cross multiply
    296,875x = 700,106 × 700,106
  4. Step 4: Simplify right side
    296,875x = 490,148,411,236
  5. Step 5: Solve for x
    x = 490,148,411,236/296,875
  6. Step 6: Final answer
    x = 1,651,026.23

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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.