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Finding the Third Proportional to 473,488 and 710,778

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Solution

The third proportional to 473,488 and 710,778 is: 1,066,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,488 : 710,778 = 710,778 : x
  2. Step 2: Convert to fraction form
    473,488/710,778 = 710,778/x
  3. Step 3: Cross multiply
    473,488x = 710,778 × 710,778
  4. Step 4: Simplify right side
    473,488x = 505,205,365,284
  5. Step 5: Solve for x
    x = 505,205,365,284/473,488
  6. Step 6: Final answer
    x = 1,066,986.63

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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.