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Finding the Third Proportional to 563,573.95 and 1,146,830.91

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Solution

The third proportional to 563,573.95 and 1,146,830.91 is: 2,333,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,573.95 : 1,146,830.91 = 1,146,830.91 : x
  2. Step 2: Convert to fraction form
    563,573.95/1,146,830.91 = 1,146,830.91/x
  3. Step 3: Cross multiply
    563,573.95x = 1,146,830.91 × 1,146,830.91
  4. Step 4: Simplify right side
    563,573.95x = 1,315,221,127,530.20
  5. Step 5: Solve for x
    x = 1,315,221,127,530.20/563,573.95
  6. Step 6: Final answer
    x = 2,333,715.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.