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Finding the Third Proportional to 346,838,688 and 507,235,012.50

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Solution

The third proportional to 346,838,688 and 507,235,012.50 is: 741,806,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,838,688 : 507,235,012.50 = 507,235,012.50 : x
  2. Step 2: Convert to fraction form
    346,838,688/507,235,012.50 = 507,235,012.50/x
  3. Step 3: Cross multiply
    346,838,688x = 507,235,012.50 × 507,235,012.50
  4. Step 4: Simplify right side
    346,838,688x = 257,287,357,905,875,168
  5. Step 5: Solve for x
    x = 257,287,357,905,875,168/346,838,688
  6. Step 6: Final answer
    x = 741,806,974.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.