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Finding the Third Proportional to 457,824 and 708,312

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Solution

The third proportional to 457,824 and 708,312 is: 1,095,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,824 : 708,312 = 708,312 : x
  2. Step 2: Convert to fraction form
    457,824/708,312 = 708,312/x
  3. Step 3: Cross multiply
    457,824x = 708,312 × 708,312
  4. Step 4: Simplify right side
    457,824x = 501,705,889,344
  5. Step 5: Solve for x
    x = 501,705,889,344/457,824
  6. Step 6: Final answer
    x = 1,095,848.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.