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Finding the Third Proportional to 501,838 and 715,386

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Solution

The third proportional to 501,838 and 715,386 is: 1,019,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,838 : 715,386 = 715,386 : x
  2. Step 2: Convert to fraction form
    501,838/715,386 = 715,386/x
  3. Step 3: Cross multiply
    501,838x = 715,386 × 715,386
  4. Step 4: Simplify right side
    501,838x = 511,777,128,996
  5. Step 5: Solve for x
    x = 511,777,128,996/501,838
  6. Step 6: Final answer
    x = 1,019,805.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.