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Finding the Third Proportional to 470,456 and 706,746

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Solution

The third proportional to 470,456 and 706,746 is: 1,061,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,456 : 706,746 = 706,746 : x
  2. Step 2: Convert to fraction form
    470,456/706,746 = 706,746/x
  3. Step 3: Cross multiply
    470,456x = 706,746 × 706,746
  4. Step 4: Simplify right side
    470,456x = 499,489,908,516
  5. Step 5: Solve for x
    x = 499,489,908,516/470,456
  6. Step 6: Final answer
    x = 1,061,714.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.