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Finding the Third Proportional to 554,774 and 708,896

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Solution

The third proportional to 554,774 and 708,896 is: 905,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,774 : 708,896 = 708,896 : x
  2. Step 2: Convert to fraction form
    554,774/708,896 = 708,896/x
  3. Step 3: Cross multiply
    554,774x = 708,896 × 708,896
  4. Step 4: Simplify right side
    554,774x = 502,533,538,816
  5. Step 5: Solve for x
    x = 502,533,538,816/554,774
  6. Step 6: Final answer
    x = 905,834.70

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.