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Finding the Third Proportional to 470,636 and 710,292

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Solution

The third proportional to 470,636 and 710,292 is: 1,071,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,636 : 710,292 = 710,292 : x
  2. Step 2: Convert to fraction form
    470,636/710,292 = 710,292/x
  3. Step 3: Cross multiply
    470,636x = 710,292 × 710,292
  4. Step 4: Simplify right side
    470,636x = 504,514,725,264
  5. Step 5: Solve for x
    x = 504,514,725,264/470,636
  6. Step 6: Final answer
    x = 1,071,984.98

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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.