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Finding the Third Proportional to 630,595.13 and 976,875.19

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Solution

The third proportional to 630,595.13 and 976,875.19 is: 1,513,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,595.13 : 976,875.19 = 976,875.19 : x
  2. Step 2: Convert to fraction form
    630,595.13/976,875.19 = 976,875.19/x
  3. Step 3: Cross multiply
    630,595.13x = 976,875.19 × 976,875.19
  4. Step 4: Simplify right side
    630,595.13x = 954,285,131,953.16
  5. Step 5: Solve for x
    x = 954,285,131,953.16/630,595.13
  6. Step 6: Final answer
    x = 1,513,308.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.