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Finding the Third Proportional to 470,312 and 709,708

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Solution

The third proportional to 470,312 and 709,708 is: 1,070,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,312 : 709,708 = 709,708 : x
  2. Step 2: Convert to fraction form
    470,312/709,708 = 709,708/x
  3. Step 3: Cross multiply
    470,312x = 709,708 × 709,708
  4. Step 4: Simplify right side
    470,312x = 503,685,445,264
  5. Step 5: Solve for x
    x = 503,685,445,264/470,312
  6. Step 6: Final answer
    x = 1,070,960.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.