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Finding the Third Proportional to 630,386 and 957,237

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Solution

The third proportional to 630,386 and 957,237 is: 1,453,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,386 : 957,237 = 957,237 : x
  2. Step 2: Convert to fraction form
    630,386/957,237 = 957,237/x
  3. Step 3: Cross multiply
    630,386x = 957,237 × 957,237
  4. Step 4: Simplify right side
    630,386x = 916,302,674,169
  5. Step 5: Solve for x
    x = 916,302,674,169/630,386
  6. Step 6: Final answer
    x = 1,453,558.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.