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Finding the Third Proportional to 295,536 and 457,159.50

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Solution

The third proportional to 295,536 and 457,159.50 is: 707,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,536 : 457,159.50 = 457,159.50 : x
  2. Step 2: Convert to fraction form
    295,536/457,159.50 = 457,159.50/x
  3. Step 3: Cross multiply
    295,536x = 457,159.50 × 457,159.50
  4. Step 4: Simplify right side
    295,536x = 208,994,808,440.25
  5. Step 5: Solve for x
    x = 208,994,808,440.25/295,536
  6. Step 6: Final answer
    x = 707,172.08

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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.