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Finding the Third Proportional to 296,684.50 and 459,106

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Solution

The third proportional to 296,684.50 and 459,106 is: 710,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,684.50 : 459,106 = 459,106 : x
  2. Step 2: Convert to fraction form
    296,684.50/459,106 = 459,106/x
  3. Step 3: Cross multiply
    296,684.50x = 459,106 × 459,106
  4. Step 4: Simplify right side
    296,684.50x = 210,778,319,236
  5. Step 5: Solve for x
    x = 210,778,319,236/296,684.50
  6. Step 6: Final answer
    x = 710,446.01

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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.