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Finding the Third Proportional to 296,312 and 470,712

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Solution

The third proportional to 296,312 and 470,712 is: 747,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,312 : 470,712 = 470,712 : x
  2. Step 2: Convert to fraction form
    296,312/470,712 = 470,712/x
  3. Step 3: Cross multiply
    296,312x = 470,712 × 470,712
  4. Step 4: Simplify right side
    296,312x = 221,569,786,944
  5. Step 5: Solve for x
    x = 221,569,786,944/296,312
  6. Step 6: Final answer
    x = 747,758.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.