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Finding the Third Proportional to 326,509 and 478,585

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Solution

The third proportional to 326,509 and 478,585 is: 701,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,509 : 478,585 = 478,585 : x
  2. Step 2: Convert to fraction form
    326,509/478,585 = 478,585/x
  3. Step 3: Cross multiply
    326,509x = 478,585 × 478,585
  4. Step 4: Simplify right side
    326,509x = 229,043,602,225
  5. Step 5: Solve for x
    x = 229,043,602,225/326,509
  6. Step 6: Final answer
    x = 701,492.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.