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Finding the Third Proportional to 455,656.50 and 707,355

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Solution

The third proportional to 455,656.50 and 707,355 is: 1,098,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,656.50 : 707,355 = 707,355 : x
  2. Step 2: Convert to fraction form
    455,656.50/707,355 = 707,355/x
  3. Step 3: Cross multiply
    455,656.50x = 707,355 × 707,355
  4. Step 4: Simplify right side
    455,656.50x = 500,351,096,025
  5. Step 5: Solve for x
    x = 500,351,096,025/455,656.50
  6. Step 6: Final answer
    x = 1,098,088.35

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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.