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Finding the Third Proportional to 482,886 and 710,313

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Solution

The third proportional to 482,886 and 710,313 is: 1,044,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,886 : 710,313 = 710,313 : x
  2. Step 2: Convert to fraction form
    482,886/710,313 = 710,313/x
  3. Step 3: Cross multiply
    482,886x = 710,313 × 710,313
  4. Step 4: Simplify right side
    482,886x = 504,544,557,969
  5. Step 5: Solve for x
    x = 504,544,557,969/482,886
  6. Step 6: Final answer
    x = 1,044,852.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.