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Finding the Third Proportional to 455,590.50 and 707,263.50

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Solution

The third proportional to 455,590.50 and 707,263.50 is: 1,097,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,590.50 : 707,263.50 = 707,263.50 : x
  2. Step 2: Convert to fraction form
    455,590.50/707,263.50 = 707,263.50/x
  3. Step 3: Cross multiply
    455,590.50x = 707,263.50 × 707,263.50
  4. Step 4: Simplify right side
    455,590.50x = 500,221,658,432.25
  5. Step 5: Solve for x
    x = 500,221,658,432.25/455,590.50
  6. Step 6: Final answer
    x = 1,097,963.32

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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.