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Finding the Third Proportional to 328,070.25 and 506,641.50

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Solution

The third proportional to 328,070.25 and 506,641.50 is: 782,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,070.25 : 506,641.50 = 506,641.50 : x
  2. Step 2: Convert to fraction form
    328,070.25/506,641.50 = 506,641.50/x
  3. Step 3: Cross multiply
    328,070.25x = 506,641.50 × 506,641.50
  4. Step 4: Simplify right side
    328,070.25x = 256,685,609,522.25
  5. Step 5: Solve for x
    x = 256,685,609,522.25/328,070.25
  6. Step 6: Final answer
    x = 782,410.50

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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.