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Finding the Third Proportional to 522,030 and 793,984.50

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Solution

The third proportional to 522,030 and 793,984.50 is: 1,207,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,030 : 793,984.50 = 793,984.50 : x
  2. Step 2: Convert to fraction form
    522,030/793,984.50 = 793,984.50/x
  3. Step 3: Cross multiply
    522,030x = 793,984.50 × 793,984.50
  4. Step 4: Simplify right side
    522,030x = 630,411,386,240.25
  5. Step 5: Solve for x
    x = 630,411,386,240.25/522,030
  6. Step 6: Final answer
    x = 1,207,615.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.