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Finding the Third Proportional to 288,692,284 and 417,110,585

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Solution

The third proportional to 288,692,284 and 417,110,585 is: 602,652,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,692,284 : 417,110,585 = 417,110,585 : x
  2. Step 2: Convert to fraction form
    288,692,284/417,110,585 = 417,110,585/x
  3. Step 3: Cross multiply
    288,692,284x = 417,110,585 × 417,110,585
  4. Step 4: Simplify right side
    288,692,284x = 173,981,240,119,042,240
  5. Step 5: Solve for x
    x = 173,981,240,119,042,240/288,692,284
  6. Step 6: Final answer
    x = 602,652,892.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.