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Finding the Third Proportional to 460,678.50 and 710,698.50

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Solution

The third proportional to 460,678.50 and 710,698.50 is: 1,096,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,678.50 : 710,698.50 = 710,698.50 : x
  2. Step 2: Convert to fraction form
    460,678.50/710,698.50 = 710,698.50/x
  3. Step 3: Cross multiply
    460,678.50x = 710,698.50 × 710,698.50
  4. Step 4: Simplify right side
    460,678.50x = 505,092,357,902.25
  5. Step 5: Solve for x
    x = 505,092,357,902.25/460,678.50
  6. Step 6: Final answer
    x = 1,096,409.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.