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Finding the Third Proportional to 472,303 and 549,076

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Solution

The third proportional to 472,303 and 549,076 is: 638,328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,303 : 549,076 = 549,076 : x
  2. Step 2: Convert to fraction form
    472,303/549,076 = 549,076/x
  3. Step 3: Cross multiply
    472,303x = 549,076 × 549,076
  4. Step 4: Simplify right side
    472,303x = 301,484,453,776
  5. Step 5: Solve for x
    x = 301,484,453,776/472,303
  6. Step 6: Final answer
    x = 638,328.48

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.