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Finding the Third Proportional to 472,053 and 711,998

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Solution

The third proportional to 472,053 and 711,998 is: 1,073,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,053 : 711,998 = 711,998 : x
  2. Step 2: Convert to fraction form
    472,053/711,998 = 711,998/x
  3. Step 3: Cross multiply
    472,053x = 711,998 × 711,998
  4. Step 4: Simplify right side
    472,053x = 506,941,152,004
  5. Step 5: Solve for x
    x = 506,941,152,004/472,053
  6. Step 6: Final answer
    x = 1,073,907.28

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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.