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Finding the Third Proportional to 584,547 and 792,148.50

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Solution

The third proportional to 584,547 and 792,148.50 is: 1,073,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,547 : 792,148.50 = 792,148.50 : x
  2. Step 2: Convert to fraction form
    584,547/792,148.50 = 792,148.50/x
  3. Step 3: Cross multiply
    584,547x = 792,148.50 × 792,148.50
  4. Step 4: Simplify right side
    584,547x = 627,499,246,052.25
  5. Step 5: Solve for x
    x = 627,499,246,052.25/584,547
  6. Step 6: Final answer
    x = 1,073,479.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.